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Finding the Third Proportional to 212,126 and 297,333

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Solution

The third proportional to 212,126 and 297,333 is: 416,766.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,126 : 297,333 = 297,333 : x
  2. Step 2: Convert to fraction form
    212,126/297,333 = 297,333/x
  3. Step 3: Cross multiply
    212,126x = 297,333 × 297,333
  4. Step 4: Simplify right side
    212,126x = 88,406,912,889
  5. Step 5: Solve for x
    x = 88,406,912,889/212,126
  6. Step 6: Final answer
    x = 416,766.04

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.