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Finding the Third Proportional to 230,838.61 and 345,331.48

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Solution

The third proportional to 230,838.61 and 345,331.48 is: 516,611.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,838.61 : 345,331.48 = 345,331.48 : x
  2. Step 2: Convert to fraction form
    230,838.61/345,331.48 = 345,331.48/x
  3. Step 3: Cross multiply
    230,838.61x = 345,331.48 × 345,331.48
  4. Step 4: Simplify right side
    230,838.61x = 119,253,828,704.84
  5. Step 5: Solve for x
    x = 119,253,828,704.84/230,838.61
  6. Step 6: Final answer
    x = 516,611.28

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.