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Finding the Third Proportional to 84,332 and 181,171

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Solution

The third proportional to 84,332 and 181,171 is: 389,210.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,332 : 181,171 = 181,171 : x
  2. Step 2: Convert to fraction form
    84,332/181,171 = 181,171/x
  3. Step 3: Cross multiply
    84,332x = 181,171 × 181,171
  4. Step 4: Simplify right side
    84,332x = 32,822,931,241
  5. Step 5: Solve for x
    x = 32,822,931,241/84,332
  6. Step 6: Final answer
    x = 389,210.87

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.