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Finding the Third Proportional to 175,952 and 391,160

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Solution

The third proportional to 175,952 and 391,160 is: 869,590.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,952 : 391,160 = 391,160 : x
  2. Step 2: Convert to fraction form
    175,952/391,160 = 391,160/x
  3. Step 3: Cross multiply
    175,952x = 391,160 × 391,160
  4. Step 4: Simplify right side
    175,952x = 153,006,145,600
  5. Step 5: Solve for x
    x = 153,006,145,600/175,952
  6. Step 6: Final answer
    x = 869,590.26

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.