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Finding the Third Proportional to 176,267 and 268,531

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Solution

The third proportional to 176,267 and 268,531 is: 409,089.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,267 : 268,531 = 268,531 : x
  2. Step 2: Convert to fraction form
    176,267/268,531 = 268,531/x
  3. Step 3: Cross multiply
    176,267x = 268,531 × 268,531
  4. Step 4: Simplify right side
    176,267x = 72,108,897,961
  5. Step 5: Solve for x
    x = 72,108,897,961/176,267
  6. Step 6: Final answer
    x = 409,089.04

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.