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Finding the Third Proportional to 98,407 and 215,727

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Solution

The third proportional to 98,407 and 215,727 is: 472,914.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,407 : 215,727 = 215,727 : x
  2. Step 2: Convert to fraction form
    98,407/215,727 = 215,727/x
  3. Step 3: Cross multiply
    98,407x = 215,727 × 215,727
  4. Step 4: Simplify right side
    98,407x = 46,538,138,529
  5. Step 5: Solve for x
    x = 46,538,138,529/98,407
  6. Step 6: Final answer
    x = 472,914.92

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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.