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Finding the Third Proportional to 159,684.38 and 347,718.75

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Solution

The third proportional to 159,684.38 and 347,718.75 is: 757,170.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,684.38 : 347,718.75 = 347,718.75 : x
  2. Step 2: Convert to fraction form
    159,684.38/347,718.75 = 347,718.75/x
  3. Step 3: Cross multiply
    159,684.38x = 347,718.75 × 347,718.75
  4. Step 4: Simplify right side
    159,684.38x = 120,908,329,101.56
  5. Step 5: Solve for x
    x = 120,908,329,101.56/159,684.38
  6. Step 6: Final answer
    x = 757,170.69

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.