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Finding the Third Proportional to 177,487.88 and 386,073.75

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Solution

The third proportional to 177,487.88 and 386,073.75 is: 839,792.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,487.88 : 386,073.75 = 386,073.75 : x
  2. Step 2: Convert to fraction form
    177,487.88/386,073.75 = 386,073.75/x
  3. Step 3: Cross multiply
    177,487.88x = 386,073.75 × 386,073.75
  4. Step 4: Simplify right side
    177,487.88x = 149,052,940,439.06
  5. Step 5: Solve for x
    x = 149,052,940,439.06/177,487.88
  6. Step 6: Final answer
    x = 839,792.24

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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.