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Finding the Third Proportional to 296,014.50 and 326,065.50

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Solution

The third proportional to 296,014.50 and 326,065.50 is: 359,167.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,014.50 : 326,065.50 = 326,065.50 : x
  2. Step 2: Convert to fraction form
    296,014.50/326,065.50 = 326,065.50/x
  3. Step 3: Cross multiply
    296,014.50x = 326,065.50 × 326,065.50
  4. Step 4: Simplify right side
    296,014.50x = 106,318,710,290.25
  5. Step 5: Solve for x
    x = 106,318,710,290.25/296,014.50
  6. Step 6: Final answer
    x = 359,167.24

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Why These Related Problems?

These problems maintain the same ratio (1.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.