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Finding the Third Proportional to 259,167.75 and 386,752.75

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Solution

The third proportional to 259,167.75 and 386,752.75 is: 577,146.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,167.75 : 386,752.75 = 386,752.75 : x
  2. Step 2: Convert to fraction form
    259,167.75/386,752.75 = 386,752.75/x
  3. Step 3: Cross multiply
    259,167.75x = 386,752.75 × 386,752.75
  4. Step 4: Simplify right side
    259,167.75x = 149,577,689,632.56
  5. Step 5: Solve for x
    x = 149,577,689,632.56/259,167.75
  6. Step 6: Final answer
    x = 577,146.23

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.