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Finding the Third Proportional to 177,754 and 282,687

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Solution

The third proportional to 177,754 and 282,687 is: 449,564.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,754 : 282,687 = 282,687 : x
  2. Step 2: Convert to fraction form
    177,754/282,687 = 282,687/x
  3. Step 3: Cross multiply
    177,754x = 282,687 × 282,687
  4. Step 4: Simplify right side
    177,754x = 79,911,939,969
  5. Step 5: Solve for x
    x = 79,911,939,969/177,754
  6. Step 6: Final answer
    x = 449,564.79

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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.