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Finding the Third Proportional to 130,793 and 202,481

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Solution

The third proportional to 130,793 and 202,481 is: 313,461.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,793 : 202,481 = 202,481 : x
  2. Step 2: Convert to fraction form
    130,793/202,481 = 202,481/x
  3. Step 3: Cross multiply
    130,793x = 202,481 × 202,481
  4. Step 4: Simplify right side
    130,793x = 40,998,555,361
  5. Step 5: Solve for x
    x = 40,998,555,361/130,793
  6. Step 6: Final answer
    x = 313,461.39

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.