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Finding the Third Proportional to 195,179.67 and 291,144.87

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Solution

The third proportional to 195,179.67 and 291,144.87 is: 434,293.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,179.67 : 291,144.87 = 291,144.87 : x
  2. Step 2: Convert to fraction form
    195,179.67/291,144.87 = 291,144.87/x
  3. Step 3: Cross multiply
    195,179.67x = 291,144.87 × 291,144.87
  4. Step 4: Simplify right side
    195,179.67x = 84,765,333,689.63
  5. Step 5: Solve for x
    x = 84,765,333,689.63/195,179.67
  6. Step 6: Final answer
    x = 434,293.86

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.