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Finding the Third Proportional to 115,672.50 and 250,218

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Solution

The third proportional to 115,672.50 and 250,218 is: 541,261.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,672.50 : 250,218 = 250,218 : x
  2. Step 2: Convert to fraction form
    115,672.50/250,218 = 250,218/x
  3. Step 3: Cross multiply
    115,672.50x = 250,218 × 250,218
  4. Step 4: Simplify right side
    115,672.50x = 62,609,047,524
  5. Step 5: Solve for x
    x = 62,609,047,524/115,672.50
  6. Step 6: Final answer
    x = 541,261.30

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.