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Finding the Third Proportional to 147,942.75 and 209,335.50

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Solution

The third proportional to 147,942.75 and 209,335.50 is: 296,204.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,942.75 : 209,335.50 = 209,335.50 : x
  2. Step 2: Convert to fraction form
    147,942.75/209,335.50 = 209,335.50/x
  3. Step 3: Cross multiply
    147,942.75x = 209,335.50 × 209,335.50
  4. Step 4: Simplify right side
    147,942.75x = 43,821,351,560.25
  5. Step 5: Solve for x
    x = 43,821,351,560.25/147,942.75
  6. Step 6: Final answer
    x = 296,204.79

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.