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Finding the Third Proportional to 84,624 and 185,858

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Solution

The third proportional to 84,624 and 185,858 is: 408,196.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,624 : 185,858 = 185,858 : x
  2. Step 2: Convert to fraction form
    84,624/185,858 = 185,858/x
  3. Step 3: Cross multiply
    84,624x = 185,858 × 185,858
  4. Step 4: Simplify right side
    84,624x = 34,543,196,164
  5. Step 5: Solve for x
    x = 34,543,196,164/84,624
  6. Step 6: Final answer
    x = 408,196.21

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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.