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Finding the Third Proportional to 177,387 and 282,394

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Solution

The third proportional to 177,387 and 282,394 is: 449,561.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,387 : 282,394 = 282,394 : x
  2. Step 2: Convert to fraction form
    177,387/282,394 = 282,394/x
  3. Step 3: Cross multiply
    177,387x = 282,394 × 282,394
  4. Step 4: Simplify right side
    177,387x = 79,746,371,236
  5. Step 5: Solve for x
    x = 79,746,371,236/177,387
  6. Step 6: Final answer
    x = 449,561.53

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.