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Finding the Third Proportional to 181,767 and 386,862

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Solution

The third proportional to 181,767 and 386,862 is: 823,373.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,767 : 386,862 = 386,862 : x
  2. Step 2: Convert to fraction form
    181,767/386,862 = 386,862/x
  3. Step 3: Cross multiply
    181,767x = 386,862 × 386,862
  4. Step 4: Simplify right side
    181,767x = 149,662,207,044
  5. Step 5: Solve for x
    x = 149,662,207,044/181,767
  6. Step 6: Final answer
    x = 823,373.92

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.