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Finding the Third Proportional to 177,531.75 and 387,595.13

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Solution

The third proportional to 177,531.75 and 387,595.13 is: 846,214.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,531.75 : 387,595.13 = 387,595.13 : x
  2. Step 2: Convert to fraction form
    177,531.75/387,595.13 = 387,595.13/x
  3. Step 3: Cross multiply
    177,531.75x = 387,595.13 × 387,595.13
  4. Step 4: Simplify right side
    177,531.75x = 150,229,980,923.77
  5. Step 5: Solve for x
    x = 150,229,980,923.77/177,531.75
  6. Step 6: Final answer
    x = 846,214.72

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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.