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Finding the Third Proportional to 160,380 and 224,220

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Solution

The third proportional to 160,380 and 224,220 is: 313,471.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,380 : 224,220 = 224,220 : x
  2. Step 2: Convert to fraction form
    160,380/224,220 = 224,220/x
  3. Step 3: Cross multiply
    160,380x = 224,220 × 224,220
  4. Step 4: Simplify right side
    160,380x = 50,274,608,400
  5. Step 5: Solve for x
    x = 50,274,608,400/160,380
  6. Step 6: Final answer
    x = 313,471.81

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.