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Finding the Third Proportional to 175,964 and 391,192

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Solution

The third proportional to 175,964 and 391,192 is: 869,673.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,964 : 391,192 = 391,192 : x
  2. Step 2: Convert to fraction form
    175,964/391,192 = 391,192/x
  3. Step 3: Cross multiply
    175,964x = 391,192 × 391,192
  4. Step 4: Simplify right side
    175,964x = 153,031,180,864
  5. Step 5: Solve for x
    x = 153,031,180,864/175,964
  6. Step 6: Final answer
    x = 869,673.23

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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.