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Finding the Third Proportional to 177,788.81 and 275,107.22

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Solution

The third proportional to 177,788.81 and 275,107.22 is: 425,695.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,788.81 : 275,107.22 = 275,107.22 : x
  2. Step 2: Convert to fraction form
    177,788.81/275,107.22 = 275,107.22/x
  3. Step 3: Cross multiply
    177,788.81x = 275,107.22 × 275,107.22
  4. Step 4: Simplify right side
    177,788.81x = 75,683,981,808.36
  5. Step 5: Solve for x
    x = 75,683,981,808.36/177,788.81
  6. Step 6: Final answer
    x = 425,695.97

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.