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Finding the Third Proportional to 181,840 and 386,666

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Solution

The third proportional to 181,840 and 386,666 is: 822,209.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,840 : 386,666 = 386,666 : x
  2. Step 2: Convert to fraction form
    181,840/386,666 = 386,666/x
  3. Step 3: Cross multiply
    181,840x = 386,666 × 386,666
  4. Step 4: Simplify right side
    181,840x = 149,510,595,556
  5. Step 5: Solve for x
    x = 149,510,595,556/181,840
  6. Step 6: Final answer
    x = 822,209.61

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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.