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Finding the Third Proportional to 64,280.25 and 150,221.25

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Solution

The third proportional to 64,280.25 and 150,221.25 is: 351,063.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,280.25 : 150,221.25 = 150,221.25 : x
  2. Step 2: Convert to fraction form
    64,280.25/150,221.25 = 150,221.25/x
  3. Step 3: Cross multiply
    64,280.25x = 150,221.25 × 150,221.25
  4. Step 4: Simplify right side
    64,280.25x = 22,566,423,951.56
  5. Step 5: Solve for x
    x = 22,566,423,951.56/64,280.25
  6. Step 6: Final answer
    x = 351,063.10

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.