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Finding the Third Proportional to 177,559 and 274,472

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Solution

The third proportional to 177,559 and 274,472 is: 424,280.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,559 : 274,472 = 274,472 : x
  2. Step 2: Convert to fraction form
    177,559/274,472 = 274,472/x
  3. Step 3: Cross multiply
    177,559x = 274,472 × 274,472
  4. Step 4: Simplify right side
    177,559x = 75,334,878,784
  5. Step 5: Solve for x
    x = 75,334,878,784/177,559
  6. Step 6: Final answer
    x = 424,280.82

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.