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Finding the Third Proportional to 104,098 and 231,488

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Solution

The third proportional to 104,098 and 231,488 is: 514,771.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,098 : 231,488 = 231,488 : x
  2. Step 2: Convert to fraction form
    104,098/231,488 = 231,488/x
  3. Step 3: Cross multiply
    104,098x = 231,488 × 231,488
  4. Step 4: Simplify right side
    104,098x = 53,586,694,144
  5. Step 5: Solve for x
    x = 53,586,694,144/104,098
  6. Step 6: Final answer
    x = 514,771.60

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.