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Finding the Third Proportional to 224,978.50 and 316,418

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Solution

The third proportional to 224,978.50 and 316,418 is: 445,021.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,978.50 : 316,418 = 316,418 : x
  2. Step 2: Convert to fraction form
    224,978.50/316,418 = 316,418/x
  3. Step 3: Cross multiply
    224,978.50x = 316,418 × 316,418
  4. Step 4: Simplify right side
    224,978.50x = 100,120,350,724
  5. Step 5: Solve for x
    x = 100,120,350,724/224,978.50
  6. Step 6: Final answer
    x = 445,021.86

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.