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Finding the Third Proportional to 84,724 and 183,395

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Solution

The third proportional to 84,724 and 183,395 is: 396,979.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,724 : 183,395 = 183,395 : x
  2. Step 2: Convert to fraction form
    84,724/183,395 = 183,395/x
  3. Step 3: Cross multiply
    84,724x = 183,395 × 183,395
  4. Step 4: Simplify right side
    84,724x = 33,633,726,025
  5. Step 5: Solve for x
    x = 33,633,726,025/84,724
  6. Step 6: Final answer
    x = 396,979.91

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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.