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Finding the Third Proportional to 177,732 and 282,654

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Solution

The third proportional to 177,732 and 282,654 is: 449,515.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,732 : 282,654 = 282,654 : x
  2. Step 2: Convert to fraction form
    177,732/282,654 = 282,654/x
  3. Step 3: Cross multiply
    177,732x = 282,654 × 282,654
  4. Step 4: Simplify right side
    177,732x = 79,893,283,716
  5. Step 5: Solve for x
    x = 79,893,283,716/177,732
  6. Step 6: Final answer
    x = 449,515.47

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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.