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Finding the Third Proportional to 107,319.75 and 233,077.50

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Solution

The third proportional to 107,319.75 and 233,077.50 is: 506,198.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,319.75 : 233,077.50 = 233,077.50 : x
  2. Step 2: Convert to fraction form
    107,319.75/233,077.50 = 233,077.50/x
  3. Step 3: Cross multiply
    107,319.75x = 233,077.50 × 233,077.50
  4. Step 4: Simplify right side
    107,319.75x = 54,325,121,006.25
  5. Step 5: Solve for x
    x = 54,325,121,006.25/107,319.75
  6. Step 6: Final answer
    x = 506,198.73

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.