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Finding the Third Proportional to 175,404 and 282,486

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Solution

The third proportional to 175,404 and 282,486 is: 454,940.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,404 : 282,486 = 282,486 : x
  2. Step 2: Convert to fraction form
    175,404/282,486 = 282,486/x
  3. Step 3: Cross multiply
    175,404x = 282,486 × 282,486
  4. Step 4: Simplify right side
    175,404x = 79,798,340,196
  5. Step 5: Solve for x
    x = 79,798,340,196/175,404
  6. Step 6: Final answer
    x = 454,940.25

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.