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Finding the Third Proportional to 155,446.50 and 206,335.50

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Solution

The third proportional to 155,446.50 and 206,335.50 is: 273,884.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,446.50 : 206,335.50 = 206,335.50 : x
  2. Step 2: Convert to fraction form
    155,446.50/206,335.50 = 206,335.50/x
  3. Step 3: Cross multiply
    155,446.50x = 206,335.50 × 206,335.50
  4. Step 4: Simplify right side
    155,446.50x = 42,574,338,560.25
  5. Step 5: Solve for x
    x = 42,574,338,560.25/155,446.50
  6. Step 6: Final answer
    x = 273,884.19

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.