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Finding the Third Proportional to 180,080 and 391,872

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Solution

The third proportional to 180,080 and 391,872 is: 852,752.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,080 : 391,872 = 391,872 : x
  2. Step 2: Convert to fraction form
    180,080/391,872 = 391,872/x
  3. Step 3: Cross multiply
    180,080x = 391,872 × 391,872
  4. Step 4: Simplify right side
    180,080x = 153,563,664,384
  5. Step 5: Solve for x
    x = 153,563,664,384/180,080
  6. Step 6: Final answer
    x = 852,752.47

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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.