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Finding the Third Proportional to 212,897.50 and 296,014.25

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Solution

The third proportional to 212,897.50 and 296,014.25 is: 411,580.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,897.50 : 296,014.25 = 296,014.25 : x
  2. Step 2: Convert to fraction form
    212,897.50/296,014.25 = 296,014.25/x
  3. Step 3: Cross multiply
    212,897.50x = 296,014.25 × 296,014.25
  4. Step 4: Simplify right side
    212,897.50x = 87,624,436,203.06
  5. Step 5: Solve for x
    x = 87,624,436,203.06/212,897.50
  6. Step 6: Final answer
    x = 411,580.39

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.