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Finding the Third Proportional to 153,126 and 224,496

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Solution

The third proportional to 153,126 and 224,496 is: 329,130.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,126 : 224,496 = 224,496 : x
  2. Step 2: Convert to fraction form
    153,126/224,496 = 224,496/x
  3. Step 3: Cross multiply
    153,126x = 224,496 × 224,496
  4. Step 4: Simplify right side
    153,126x = 50,398,454,016
  5. Step 5: Solve for x
    x = 50,398,454,016/153,126
  6. Step 6: Final answer
    x = 329,130.61

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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.