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Finding the Third Proportional to 177,374 and 260,874

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Solution

The third proportional to 177,374 and 260,874 is: 383,682.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,374 : 260,874 = 260,874 : x
  2. Step 2: Convert to fraction form
    177,374/260,874 = 260,874/x
  3. Step 3: Cross multiply
    177,374x = 260,874 × 260,874
  4. Step 4: Simplify right side
    177,374x = 68,055,243,876
  5. Step 5: Solve for x
    x = 68,055,243,876/177,374
  6. Step 6: Final answer
    x = 383,682.18

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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.