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Finding the Third Proportional to 179,280.84 and 391,161.66

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Solution

The third proportional to 179,280.84 and 391,161.66 is: 853,451.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    179,280.84 : 391,161.66 = 391,161.66 : x
  2. Step 2: Convert to fraction form
    179,280.84/391,161.66 = 391,161.66/x
  3. Step 3: Cross multiply
    179,280.84x = 391,161.66 × 391,161.66
  4. Step 4: Simplify right side
    179,280.84x = 153,007,441,320.24
  5. Step 5: Solve for x
    x = 153,007,441,320.24/179,280.84
  6. Step 6: Final answer
    x = 853,451.14

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.