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Finding the Third Proportional to 150,612.75 and 225,925.88

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Solution

The third proportional to 150,612.75 and 225,925.88 is: 338,898.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,612.75 : 225,925.88 = 225,925.88 : x
  2. Step 2: Convert to fraction form
    150,612.75/225,925.88 = 225,925.88/x
  3. Step 3: Cross multiply
    150,612.75x = 225,925.88 × 225,925.88
  4. Step 4: Simplify right side
    150,612.75x = 51,042,500,994.52
  5. Step 5: Solve for x
    x = 51,042,500,994.52/150,612.75
  6. Step 6: Final answer
    x = 338,898.94

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.