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Finding the Third Proportional to 147,982.50 and 209,394

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Solution

The third proportional to 147,982.50 and 209,394 is: 296,290.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,982.50 : 209,394 = 209,394 : x
  2. Step 2: Convert to fraction form
    147,982.50/209,394 = 209,394/x
  3. Step 3: Cross multiply
    147,982.50x = 209,394 × 209,394
  4. Step 4: Simplify right side
    147,982.50x = 43,845,847,236
  5. Step 5: Solve for x
    x = 43,845,847,236/147,982.50
  6. Step 6: Final answer
    x = 296,290.76

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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.