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Finding the Third Proportional to 185,840 and 409,192

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Solution

The third proportional to 185,840 and 409,192 is: 900,979.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,840 : 409,192 = 409,192 : x
  2. Step 2: Convert to fraction form
    185,840/409,192 = 409,192/x
  3. Step 3: Cross multiply
    185,840x = 409,192 × 409,192
  4. Step 4: Simplify right side
    185,840x = 167,438,092,864
  5. Step 5: Solve for x
    x = 167,438,092,864/185,840
  6. Step 6: Final answer
    x = 900,979.84

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.