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Finding the Third Proportional to 84,568.50 and 180,801

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Solution

The third proportional to 84,568.50 and 180,801 is: 386,538.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,568.50 : 180,801 = 180,801 : x
  2. Step 2: Convert to fraction form
    84,568.50/180,801 = 180,801/x
  3. Step 3: Cross multiply
    84,568.50x = 180,801 × 180,801
  4. Step 4: Simplify right side
    84,568.50x = 32,689,001,601
  5. Step 5: Solve for x
    x = 32,689,001,601/84,568.50
  6. Step 6: Final answer
    x = 386,538.74

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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.