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Finding the Third Proportional to 160,778 and 349,225

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Solution

The third proportional to 160,778 and 349,225 is: 758,549.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,778 : 349,225 = 349,225 : x
  2. Step 2: Convert to fraction form
    160,778/349,225 = 349,225/x
  3. Step 3: Cross multiply
    160,778x = 349,225 × 349,225
  4. Step 4: Simplify right side
    160,778x = 121,958,100,625
  5. Step 5: Solve for x
    x = 121,958,100,625/160,778
  6. Step 6: Final answer
    x = 758,549.68

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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.