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Finding the Third Proportional to 156,444 and 332,280

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Solution

The third proportional to 156,444 and 332,280 is: 705,747.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,444 : 332,280 = 332,280 : x
  2. Step 2: Convert to fraction form
    156,444/332,280 = 332,280/x
  3. Step 3: Cross multiply
    156,444x = 332,280 × 332,280
  4. Step 4: Simplify right side
    156,444x = 110,409,998,400
  5. Step 5: Solve for x
    x = 110,409,998,400/156,444
  6. Step 6: Final answer
    x = 705,747.73

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.