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Finding the Third Proportional to 151,520 and 225,965

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Solution

The third proportional to 151,520 and 225,965 is: 336,986.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,520 : 225,965 = 225,965 : x
  2. Step 2: Convert to fraction form
    151,520/225,965 = 225,965/x
  3. Step 3: Cross multiply
    151,520x = 225,965 × 225,965
  4. Step 4: Simplify right side
    151,520x = 51,060,181,225
  5. Step 5: Solve for x
    x = 51,060,181,225/151,520
  6. Step 6: Final answer
    x = 336,986.41

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.