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Finding the Third Proportional to 212,331 and 297,472.50

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Solution

The third proportional to 212,331 and 297,472.50 is: 416,754.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,331 : 297,472.50 = 297,472.50 : x
  2. Step 2: Convert to fraction form
    212,331/297,472.50 = 297,472.50/x
  3. Step 3: Cross multiply
    212,331x = 297,472.50 × 297,472.50
  4. Step 4: Simplify right side
    212,331x = 88,489,888,256.25
  5. Step 5: Solve for x
    x = 88,489,888,256.25/212,331
  6. Step 6: Final answer
    x = 416,754.45

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