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Finding the Third Proportional to 96,427 and 209,298

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Solution

The third proportional to 96,427 and 209,298 is: 454,288.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,427 : 209,298 = 209,298 : x
  2. Step 2: Convert to fraction form
    96,427/209,298 = 209,298/x
  3. Step 3: Cross multiply
    96,427x = 209,298 × 209,298
  4. Step 4: Simplify right side
    96,427x = 43,805,652,804
  5. Step 5: Solve for x
    x = 43,805,652,804/96,427
  6. Step 6: Final answer
    x = 454,288.25

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.