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Finding the Third Proportional to 231,113.25 and 345,940.88

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Solution

The third proportional to 231,113.25 and 345,940.88 is: 517,820.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,113.25 : 345,940.88 = 345,940.88 : x
  2. Step 2: Convert to fraction form
    231,113.25/345,940.88 = 345,940.88/x
  3. Step 3: Cross multiply
    231,113.25x = 345,940.88 × 345,940.88
  4. Step 4: Simplify right side
    231,113.25x = 119,675,088,995.77
  5. Step 5: Solve for x
    x = 119,675,088,995.77/231,113.25
  6. Step 6: Final answer
    x = 517,820.11

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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.