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Finding the Third Proportional to 84,181 and 181,716

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Solution

The third proportional to 84,181 and 181,716 is: 392,258.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,181 : 181,716 = 181,716 : x
  2. Step 2: Convert to fraction form
    84,181/181,716 = 181,716/x
  3. Step 3: Cross multiply
    84,181x = 181,716 × 181,716
  4. Step 4: Simplify right side
    84,181x = 33,020,704,656
  5. Step 5: Solve for x
    x = 33,020,704,656/84,181
  6. Step 6: Final answer
    x = 392,258.40

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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.