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Finding the Third Proportional to 230,064.75 and 353,161.13

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Solution

The third proportional to 230,064.75 and 353,161.13 is: 542,120.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,064.75 : 353,161.13 = 353,161.13 : x
  2. Step 2: Convert to fraction form
    230,064.75/353,161.13 = 353,161.13/x
  3. Step 3: Cross multiply
    230,064.75x = 353,161.13 × 353,161.13
  4. Step 4: Simplify right side
    230,064.75x = 124,722,780,211.27
  5. Step 5: Solve for x
    x = 124,722,780,211.27/230,064.75
  6. Step 6: Final answer
    x = 542,120.34

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.