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Finding the Third Proportional to 156,267 and 240,885

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Solution

The third proportional to 156,267 and 240,885 is: 371,323.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,267 : 240,885 = 240,885 : x
  2. Step 2: Convert to fraction form
    156,267/240,885 = 240,885/x
  3. Step 3: Cross multiply
    156,267x = 240,885 × 240,885
  4. Step 4: Simplify right side
    156,267x = 58,025,583,225
  5. Step 5: Solve for x
    x = 58,025,583,225/156,267
  6. Step 6: Final answer
    x = 371,323.33

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.