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Finding the Third Proportional to 152,781.75 and 224,490.50

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Solution

The third proportional to 152,781.75 and 224,490.50 is: 329,856.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,781.75 : 224,490.50 = 224,490.50 : x
  2. Step 2: Convert to fraction form
    152,781.75/224,490.50 = 224,490.50/x
  3. Step 3: Cross multiply
    152,781.75x = 224,490.50 × 224,490.50
  4. Step 4: Simplify right side
    152,781.75x = 50,395,984,590.25
  5. Step 5: Solve for x
    x = 50,395,984,590.25/152,781.75
  6. Step 6: Final answer
    x = 329,856.05

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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.