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Finding the Third Proportional to 84,726 and 183,398

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Solution

The third proportional to 84,726 and 183,398 is: 396,983.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,726 : 183,398 = 183,398 : x
  2. Step 2: Convert to fraction form
    84,726/183,398 = 183,398/x
  3. Step 3: Cross multiply
    84,726x = 183,398 × 183,398
  4. Step 4: Simplify right side
    84,726x = 33,634,826,404
  5. Step 5: Solve for x
    x = 33,634,826,404/84,726
  6. Step 6: Final answer
    x = 396,983.53

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.