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Finding the Third Proportional to 155,952 and 251,154

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Solution

The third proportional to 155,952 and 251,154 is: 404,472.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,952 : 251,154 = 251,154 : x
  2. Step 2: Convert to fraction form
    155,952/251,154 = 251,154/x
  3. Step 3: Cross multiply
    155,952x = 251,154 × 251,154
  4. Step 4: Simplify right side
    155,952x = 63,078,331,716
  5. Step 5: Solve for x
    x = 63,078,331,716/155,952
  6. Step 6: Final answer
    x = 404,472.73

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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.