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Finding the Third Proportional to 259,132.50 and 399,768.75

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Solution

The third proportional to 259,132.50 and 399,768.75 is: 616,731.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,132.50 : 399,768.75 = 399,768.75 : x
  2. Step 2: Convert to fraction form
    259,132.50/399,768.75 = 399,768.75/x
  3. Step 3: Cross multiply
    259,132.50x = 399,768.75 × 399,768.75
  4. Step 4: Simplify right side
    259,132.50x = 159,815,053,476.56
  5. Step 5: Solve for x
    x = 159,815,053,476.56/259,132.50
  6. Step 6: Final answer
    x = 616,731.03

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.