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Finding the Third Proportional to 159,966 and 240,354

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Solution

The third proportional to 159,966 and 240,354 is: 361,139.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,966 : 240,354 = 240,354 : x
  2. Step 2: Convert to fraction form
    159,966/240,354 = 240,354/x
  3. Step 3: Cross multiply
    159,966x = 240,354 × 240,354
  4. Step 4: Simplify right side
    159,966x = 57,770,045,316
  5. Step 5: Solve for x
    x = 57,770,045,316/159,966
  6. Step 6: Final answer
    x = 361,139.53

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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.