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Finding the Third Proportional to 230,758.88 and 349,213.78

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Solution

The third proportional to 230,758.88 and 349,213.78 is: 528,474.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,758.88 : 349,213.78 = 349,213.78 : x
  2. Step 2: Convert to fraction form
    230,758.88/349,213.78 = 349,213.78/x
  3. Step 3: Cross multiply
    230,758.88x = 349,213.78 × 349,213.78
  4. Step 4: Simplify right side
    230,758.88x = 121,950,265,014.92
  5. Step 5: Solve for x
    x = 121,950,265,014.92/230,758.88
  6. Step 6: Final answer
    x = 528,474.86

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.