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Finding the Third Proportional to 152,635.50 and 224,380.13

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Solution

The third proportional to 152,635.50 and 224,380.13 is: 329,847.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,635.50 : 224,380.13 = 224,380.13 : x
  2. Step 2: Convert to fraction form
    152,635.50/224,380.13 = 224,380.13/x
  3. Step 3: Cross multiply
    152,635.50x = 224,380.13 × 224,380.13
  4. Step 4: Simplify right side
    152,635.50x = 50,346,440,495.02
  5. Step 5: Solve for x
    x = 50,346,440,495.02/152,635.50
  6. Step 6: Final answer
    x = 329,847.52

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.