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Finding the Third Proportional to 259,042.50 and 344,310.75

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Solution

The third proportional to 259,042.50 and 344,310.75 is: 457,646.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,042.50 : 344,310.75 = 344,310.75 : x
  2. Step 2: Convert to fraction form
    259,042.50/344,310.75 = 344,310.75/x
  3. Step 3: Cross multiply
    259,042.50x = 344,310.75 × 344,310.75
  4. Step 4: Simplify right side
    259,042.50x = 118,549,892,565.56
  5. Step 5: Solve for x
    x = 118,549,892,565.56/259,042.50
  6. Step 6: Final answer
    x = 457,646.50

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.