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Finding the Third Proportional to 84,870 and 183,522

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Solution

The third proportional to 84,870 and 183,522 is: 396,846.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,870 : 183,522 = 183,522 : x
  2. Step 2: Convert to fraction form
    84,870/183,522 = 183,522/x
  3. Step 3: Cross multiply
    84,870x = 183,522 × 183,522
  4. Step 4: Simplify right side
    84,870x = 33,680,324,484
  5. Step 5: Solve for x
    x = 33,680,324,484/84,870
  6. Step 6: Final answer
    x = 396,846.05

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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.