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Finding the Third Proportional to 240,877.13 and 316,821.38

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Solution

The third proportional to 240,877.13 and 316,821.38 is: 416,709.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    240,877.13 : 316,821.38 = 316,821.38 : x
  2. Step 2: Convert to fraction form
    240,877.13/316,821.38 = 316,821.38/x
  3. Step 3: Cross multiply
    240,877.13x = 316,821.38 × 316,821.38
  4. Step 4: Simplify right side
    240,877.13x = 100,375,783,656.89
  5. Step 5: Solve for x
    x = 100,375,783,656.89/240,877.13
  6. Step 6: Final answer
    x = 416,709.49

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Why These Related Problems?

These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.