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Finding the Third Proportional to 177,334 and 272,578

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Solution

The third proportional to 177,334 and 272,578 is: 418,976.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,334 : 272,578 = 272,578 : x
  2. Step 2: Convert to fraction form
    177,334/272,578 = 272,578/x
  3. Step 3: Cross multiply
    177,334x = 272,578 × 272,578
  4. Step 4: Simplify right side
    177,334x = 74,298,766,084
  5. Step 5: Solve for x
    x = 74,298,766,084/177,334
  6. Step 6: Final answer
    x = 418,976.43

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.