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Finding the Third Proportional to 177,466 and 268,048

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Solution

The third proportional to 177,466 and 268,048 is: 404,864.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,466 : 268,048 = 268,048 : x
  2. Step 2: Convert to fraction form
    177,466/268,048 = 268,048/x
  3. Step 3: Cross multiply
    177,466x = 268,048 × 268,048
  4. Step 4: Simplify right side
    177,466x = 71,849,730,304
  5. Step 5: Solve for x
    x = 71,849,730,304/177,466
  6. Step 6: Final answer
    x = 404,864.76

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.