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Finding the Third Proportional to 176,298 and 391,836

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Solution

The third proportional to 176,298 and 391,836 is: 870,885.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,298 : 391,836 = 391,836 : x
  2. Step 2: Convert to fraction form
    176,298/391,836 = 391,836/x
  3. Step 3: Cross multiply
    176,298x = 391,836 × 391,836
  4. Step 4: Simplify right side
    176,298x = 153,535,450,896
  5. Step 5: Solve for x
    x = 153,535,450,896/176,298
  6. Step 6: Final answer
    x = 870,885.95

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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.