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Finding the Third Proportional to 177,400.13 and 384,324.75

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Solution

The third proportional to 177,400.13 and 384,324.75 is: 832,612.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,400.13 : 384,324.75 = 384,324.75 : x
  2. Step 2: Convert to fraction form
    177,400.13/384,324.75 = 384,324.75/x
  3. Step 3: Cross multiply
    177,400.13x = 384,324.75 × 384,324.75
  4. Step 4: Simplify right side
    177,400.13x = 147,705,513,462.56
  5. Step 5: Solve for x
    x = 147,705,513,462.56/177,400.13
  6. Step 6: Final answer
    x = 832,612.23

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.