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Finding the Third Proportional to 84,040 and 180,822

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Solution

The third proportional to 84,040 and 180,822 is: 389,059.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,040 : 180,822 = 180,822 : x
  2. Step 2: Convert to fraction form
    84,040/180,822 = 180,822/x
  3. Step 3: Cross multiply
    84,040x = 180,822 × 180,822
  4. Step 4: Simplify right side
    84,040x = 32,696,595,684
  5. Step 5: Solve for x
    x = 32,696,595,684/84,040
  6. Step 6: Final answer
    x = 389,059.92

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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.