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Finding the Third Proportional to 176,727 and 261,657

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Solution

The third proportional to 176,727 and 261,657 is: 387,401.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,727 : 261,657 = 261,657 : x
  2. Step 2: Convert to fraction form
    176,727/261,657 = 261,657/x
  3. Step 3: Cross multiply
    176,727x = 261,657 × 261,657
  4. Step 4: Simplify right side
    176,727x = 68,464,385,649
  5. Step 5: Solve for x
    x = 68,464,385,649/176,727
  6. Step 6: Final answer
    x = 387,401.96

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.