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Finding the Third Proportional to 169,542 and 230,262.75

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Solution

The third proportional to 169,542 and 230,262.75 is: 312,730.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,542 : 230,262.75 = 230,262.75 : x
  2. Step 2: Convert to fraction form
    169,542/230,262.75 = 230,262.75/x
  3. Step 3: Cross multiply
    169,542x = 230,262.75 × 230,262.75
  4. Step 4: Simplify right side
    169,542x = 53,020,934,037.56
  5. Step 5: Solve for x
    x = 53,020,934,037.56/169,542
  6. Step 6: Final answer
    x = 312,730.38

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.