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Finding the Third Proportional to 175,508 and 250,802

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Solution

The third proportional to 175,508 and 250,802 is: 358,397.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,508 : 250,802 = 250,802 : x
  2. Step 2: Convert to fraction form
    175,508/250,802 = 250,802/x
  3. Step 3: Cross multiply
    175,508x = 250,802 × 250,802
  4. Step 4: Simplify right side
    175,508x = 62,901,643,204
  5. Step 5: Solve for x
    x = 62,901,643,204/175,508
  6. Step 6: Final answer
    x = 358,397.58

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.