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Finding the Third Proportional to 115,164 and 250,000

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Solution

The third proportional to 115,164 and 250,000 is: 542,704.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,164 : 250,000 = 250,000 : x
  2. Step 2: Convert to fraction form
    115,164/250,000 = 250,000/x
  3. Step 3: Cross multiply
    115,164x = 250,000 × 250,000
  4. Step 4: Simplify right side
    115,164x = 62,500,000,000
  5. Step 5: Solve for x
    x = 62,500,000,000/115,164
  6. Step 6: Final answer
    x = 542,704.32

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.