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Finding the Third Proportional to 152,881 and 231,632

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Solution

The third proportional to 152,881 and 231,632 is: 350,948.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,881 : 231,632 = 231,632 : x
  2. Step 2: Convert to fraction form
    152,881/231,632 = 231,632/x
  3. Step 3: Cross multiply
    152,881x = 231,632 × 231,632
  4. Step 4: Simplify right side
    152,881x = 53,653,383,424
  5. Step 5: Solve for x
    x = 53,653,383,424/152,881
  6. Step 6: Final answer
    x = 350,948.67

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.