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Finding the Third Proportional to 180,436 and 391,612

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Solution

The third proportional to 180,436 and 391,612 is: 849,941.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,436 : 391,612 = 391,612 : x
  2. Step 2: Convert to fraction form
    180,436/391,612 = 391,612/x
  3. Step 3: Cross multiply
    180,436x = 391,612 × 391,612
  4. Step 4: Simplify right side
    180,436x = 153,359,958,544
  5. Step 5: Solve for x
    x = 153,359,958,544/180,436
  6. Step 6: Final answer
    x = 849,941.02

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.