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Finding the Third Proportional to 84,180 and 181,482

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Solution

The third proportional to 84,180 and 181,482 is: 391,253.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,180 : 181,482 = 181,482 : x
  2. Step 2: Convert to fraction form
    84,180/181,482 = 181,482/x
  3. Step 3: Cross multiply
    84,180x = 181,482 × 181,482
  4. Step 4: Simplify right side
    84,180x = 32,935,716,324
  5. Step 5: Solve for x
    x = 32,935,716,324/84,180
  6. Step 6: Final answer
    x = 391,253.46

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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.