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Finding the Third Proportional to 253,229.25 and 386,274.75

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Solution

The third proportional to 253,229.25 and 386,274.75 is: 589,221.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,229.25 : 386,274.75 = 386,274.75 : x
  2. Step 2: Convert to fraction form
    253,229.25/386,274.75 = 386,274.75/x
  3. Step 3: Cross multiply
    253,229.25x = 386,274.75 × 386,274.75
  4. Step 4: Simplify right side
    253,229.25x = 149,208,182,487.56
  5. Step 5: Solve for x
    x = 149,208,182,487.56/253,229.25
  6. Step 6: Final answer
    x = 589,221.75

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.