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Finding the Third Proportional to 250,327.50 and 387,370.13

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Solution

The third proportional to 250,327.50 and 387,370.13 is: 599,437.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    250,327.50 : 387,370.13 = 387,370.13 : x
  2. Step 2: Convert to fraction form
    250,327.50/387,370.13 = 387,370.13/x
  3. Step 3: Cross multiply
    250,327.50x = 387,370.13 × 387,370.13
  4. Step 4: Simplify right side
    250,327.50x = 150,055,613,742.52
  5. Step 5: Solve for x
    x = 150,055,613,742.52/250,327.50
  6. Step 6: Final answer
    x = 599,437.19

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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.