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Finding the Third Proportional to 117,561.38 and 250,295.06

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Solution

The third proportional to 117,561.38 and 250,295.06 is: 532,892.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,561.38 : 250,295.06 = 250,295.06 : x
  2. Step 2: Convert to fraction form
    117,561.38/250,295.06 = 250,295.06/x
  3. Step 3: Cross multiply
    117,561.38x = 250,295.06 × 250,295.06
  4. Step 4: Simplify right side
    117,561.38x = 62,647,618,311.88
  5. Step 5: Solve for x
    x = 62,647,618,311.88/117,561.38
  6. Step 6: Final answer
    x = 532,892.87

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.