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Finding the Third Proportional to 151,148 and 225,932

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Solution

The third proportional to 151,148 and 225,932 is: 337,717.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,148 : 225,932 = 225,932 : x
  2. Step 2: Convert to fraction form
    151,148/225,932 = 225,932/x
  3. Step 3: Cross multiply
    151,148x = 225,932 × 225,932
  4. Step 4: Simplify right side
    151,148x = 51,045,268,624
  5. Step 5: Solve for x
    x = 51,045,268,624/151,148
  6. Step 6: Final answer
    x = 337,717.13

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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.