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Finding the Third Proportional to 180,049 and 392,496

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Solution

The third proportional to 180,049 and 392,496 is: 855,617.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,049 : 392,496 = 392,496 : x
  2. Step 2: Convert to fraction form
    180,049/392,496 = 392,496/x
  3. Step 3: Cross multiply
    180,049x = 392,496 × 392,496
  4. Step 4: Simplify right side
    180,049x = 154,053,110,016
  5. Step 5: Solve for x
    x = 154,053,110,016/180,049
  6. Step 6: Final answer
    x = 855,617.69

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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.