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Finding the Third Proportional to 84,216.50 and 181,791

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Solution

The third proportional to 84,216.50 and 181,791 is: 392,416.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,216.50 : 181,791 = 181,791 : x
  2. Step 2: Convert to fraction form
    84,216.50/181,791 = 181,791/x
  3. Step 3: Cross multiply
    84,216.50x = 181,791 × 181,791
  4. Step 4: Simplify right side
    84,216.50x = 33,047,967,681
  5. Step 5: Solve for x
    x = 33,047,967,681/84,216.50
  6. Step 6: Final answer
    x = 392,416.78

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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.