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Finding the Third Proportional to 118,500 and 261,012

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Solution

The third proportional to 118,500 and 261,012 is: 574,913.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,500 : 261,012 = 261,012 : x
  2. Step 2: Convert to fraction form
    118,500/261,012 = 261,012/x
  3. Step 3: Cross multiply
    118,500x = 261,012 × 261,012
  4. Step 4: Simplify right side
    118,500x = 68,127,264,144
  5. Step 5: Solve for x
    x = 68,127,264,144/118,500
  6. Step 6: Final answer
    x = 574,913.62

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.