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Finding the Third Proportional to 108,245 and 250,592

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Solution

The third proportional to 108,245 and 250,592 is: 580,131.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,245 : 250,592 = 250,592 : x
  2. Step 2: Convert to fraction form
    108,245/250,592 = 250,592/x
  3. Step 3: Cross multiply
    108,245x = 250,592 × 250,592
  4. Step 4: Simplify right side
    108,245x = 62,796,350,464
  5. Step 5: Solve for x
    x = 62,796,350,464/108,245
  6. Step 6: Final answer
    x = 580,131.65

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.