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Finding the Third Proportional to 84,305 and 180,569

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Solution

The third proportional to 84,305 and 180,569 is: 386,752.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,305 : 180,569 = 180,569 : x
  2. Step 2: Convert to fraction form
    84,305/180,569 = 180,569/x
  3. Step 3: Cross multiply
    84,305x = 180,569 × 180,569
  4. Step 4: Simplify right side
    84,305x = 32,605,163,761
  5. Step 5: Solve for x
    x = 32,605,163,761/84,305
  6. Step 6: Final answer
    x = 386,752.43

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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.