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Finding the Third Proportional to 159,942 and 240,318

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Solution

The third proportional to 159,942 and 240,318 is: 361,085.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,942 : 240,318 = 240,318 : x
  2. Step 2: Convert to fraction form
    159,942/240,318 = 240,318/x
  3. Step 3: Cross multiply
    159,942x = 240,318 × 240,318
  4. Step 4: Simplify right side
    159,942x = 57,752,741,124
  5. Step 5: Solve for x
    x = 57,752,741,124/159,942
  6. Step 6: Final answer
    x = 361,085.53

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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.