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Finding the Third Proportional to 231,312.75 and 345,050.44

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Solution

The third proportional to 231,312.75 and 345,050.44 is: 514,713.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,312.75 : 345,050.44 = 345,050.44 : x
  2. Step 2: Convert to fraction form
    231,312.75/345,050.44 = 345,050.44/x
  3. Step 3: Cross multiply
    231,312.75x = 345,050.44 × 345,050.44
  4. Step 4: Simplify right side
    231,312.75x = 119,059,804,418.94
  5. Step 5: Solve for x
    x = 119,059,804,418.94/231,312.75
  6. Step 6: Final answer
    x = 514,713.54

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.