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Finding the Third Proportional to 240,922.69 and 316,618.88

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Solution

The third proportional to 240,922.69 and 316,618.88 is: 416,098.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    240,922.69 : 316,618.88 = 316,618.88 : x
  2. Step 2: Convert to fraction form
    240,922.69/316,618.88 = 316,618.88/x
  3. Step 3: Cross multiply
    240,922.69x = 316,618.88 × 316,618.88
  4. Step 4: Simplify right side
    240,922.69x = 100,247,512,006.27
  5. Step 5: Solve for x
    x = 100,247,512,006.27/240,922.69
  6. Step 6: Final answer
    x = 416,098.26

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.