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Finding the Third Proportional to 175,381 and 250,808

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Solution

The third proportional to 175,381 and 250,808 is: 358,674.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,381 : 250,808 = 250,808 : x
  2. Step 2: Convert to fraction form
    175,381/250,808 = 250,808/x
  3. Step 3: Cross multiply
    175,381x = 250,808 × 250,808
  4. Step 4: Simplify right side
    175,381x = 62,904,652,864
  5. Step 5: Solve for x
    x = 62,904,652,864/175,381
  6. Step 6: Final answer
    x = 358,674.27

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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.