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Finding the Third Proportional to 84,158 and 181,438

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Solution

The third proportional to 84,158 and 181,438 is: 391,166.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,158 : 181,438 = 181,438 : x
  2. Step 2: Convert to fraction form
    84,158/181,438 = 181,438/x
  3. Step 3: Cross multiply
    84,158x = 181,438 × 181,438
  4. Step 4: Simplify right side
    84,158x = 32,919,747,844
  5. Step 5: Solve for x
    x = 32,919,747,844/84,158
  6. Step 6: Final answer
    x = 391,166.00

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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.