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Finding the Third Proportional to 98,456.50 and 215,975

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Solution

The third proportional to 98,456.50 and 215,975 is: 473,764.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,456.50 : 215,975 = 215,975 : x
  2. Step 2: Convert to fraction form
    98,456.50/215,975 = 215,975/x
  3. Step 3: Cross multiply
    98,456.50x = 215,975 × 215,975
  4. Step 4: Simplify right side
    98,456.50x = 46,645,200,625
  5. Step 5: Solve for x
    x = 46,645,200,625/98,456.50
  6. Step 6: Final answer
    x = 473,764.56

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.