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Finding the Third Proportional to 98,832 and 217,347

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Solution

The third proportional to 98,832 and 217,347 is: 477,979.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,832 : 217,347 = 217,347 : x
  2. Step 2: Convert to fraction form
    98,832/217,347 = 217,347/x
  3. Step 3: Cross multiply
    98,832x = 217,347 × 217,347
  4. Step 4: Simplify right side
    98,832x = 47,239,718,409
  5. Step 5: Solve for x
    x = 47,239,718,409/98,832
  6. Step 6: Final answer
    x = 477,979.99

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Why These Related Problems?

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