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Finding the Third Proportional to 177,540 and 386,184

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Solution

The third proportional to 177,540 and 386,184 is: 840,025.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,540 : 386,184 = 386,184 : x
  2. Step 2: Convert to fraction form
    177,540/386,184 = 386,184/x
  3. Step 3: Cross multiply
    177,540x = 386,184 × 386,184
  4. Step 4: Simplify right side
    177,540x = 149,138,081,856
  5. Step 5: Solve for x
    x = 149,138,081,856/177,540
  6. Step 6: Final answer
    x = 840,025.24

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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.