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Finding the Third Proportional to 177,376 and 260,877

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Solution

The third proportional to 177,376 and 260,877 is: 383,686.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,376 : 260,877 = 260,877 : x
  2. Step 2: Convert to fraction form
    177,376/260,877 = 260,877/x
  3. Step 3: Cross multiply
    177,376x = 260,877 × 260,877
  4. Step 4: Simplify right side
    177,376x = 68,056,809,129
  5. Step 5: Solve for x
    x = 68,056,809,129/177,376
  6. Step 6: Final answer
    x = 383,686.68

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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.