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Finding the Third Proportional to 84,742 and 186,508

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Solution

The third proportional to 84,742 and 186,508 is: 410,483.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,742 : 186,508 = 186,508 : x
  2. Step 2: Convert to fraction form
    84,742/186,508 = 186,508/x
  3. Step 3: Cross multiply
    84,742x = 186,508 × 186,508
  4. Step 4: Simplify right side
    84,742x = 34,785,234,064
  5. Step 5: Solve for x
    x = 34,785,234,064/84,742
  6. Step 6: Final answer
    x = 410,483.99

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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.