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Finding the Third Proportional to 231,432.75 and 307,086.75

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Solution

The third proportional to 231,432.75 and 307,086.75 is: 407,471.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,432.75 : 307,086.75 = 307,086.75 : x
  2. Step 2: Convert to fraction form
    231,432.75/307,086.75 = 307,086.75/x
  3. Step 3: Cross multiply
    231,432.75x = 307,086.75 × 307,086.75
  4. Step 4: Simplify right side
    231,432.75x = 94,302,272,025.56
  5. Step 5: Solve for x
    x = 94,302,272,025.56/231,432.75
  6. Step 6: Final answer
    x = 407,471.60

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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.