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Finding the Third Proportional to 295,251.75 and 433,188.75

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Solution

The third proportional to 295,251.75 and 433,188.75 is: 635,567.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,251.75 : 433,188.75 = 433,188.75 : x
  2. Step 2: Convert to fraction form
    295,251.75/433,188.75 = 433,188.75/x
  3. Step 3: Cross multiply
    295,251.75x = 433,188.75 × 433,188.75
  4. Step 4: Simplify right side
    295,251.75x = 187,652,493,126.56
  5. Step 5: Solve for x
    x = 187,652,493,126.56/295,251.75
  6. Step 6: Final answer
    x = 635,567.76

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.