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Finding the Third Proportional to 84,309 and 180,578

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Solution

The third proportional to 84,309 and 180,578 is: 386,772.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,309 : 180,578 = 180,578 : x
  2. Step 2: Convert to fraction form
    84,309/180,578 = 180,578/x
  3. Step 3: Cross multiply
    84,309x = 180,578 × 180,578
  4. Step 4: Simplify right side
    84,309x = 32,608,414,084
  5. Step 5: Solve for x
    x = 32,608,414,084/84,309
  6. Step 6: Final answer
    x = 386,772.63

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.