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Finding the Third Proportional to 157,049.25 and 250,143

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Solution

The third proportional to 157,049.25 and 250,143 is: 398,419.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,049.25 : 250,143 = 250,143 : x
  2. Step 2: Convert to fraction form
    157,049.25/250,143 = 250,143/x
  3. Step 3: Cross multiply
    157,049.25x = 250,143 × 250,143
  4. Step 4: Simplify right side
    157,049.25x = 62,571,520,449
  5. Step 5: Solve for x
    x = 62,571,520,449/157,049.25
  6. Step 6: Final answer
    x = 398,419.73

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.