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Finding the Third Proportional to 160,775 and 349,220

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Solution

The third proportional to 160,775 and 349,220 is: 758,542.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,775 : 349,220 = 349,220 : x
  2. Step 2: Convert to fraction form
    160,775/349,220 = 349,220/x
  3. Step 3: Cross multiply
    160,775x = 349,220 × 349,220
  4. Step 4: Simplify right side
    160,775x = 121,954,608,400
  5. Step 5: Solve for x
    x = 121,954,608,400/160,775
  6. Step 6: Final answer
    x = 758,542.11

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.