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Finding the Third Proportional to 161,550 and 247,968

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Solution

The third proportional to 161,550 and 247,968 is: 380,613.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,550 : 247,968 = 247,968 : x
  2. Step 2: Convert to fraction form
    161,550/247,968 = 247,968/x
  3. Step 3: Cross multiply
    161,550x = 247,968 × 247,968
  4. Step 4: Simplify right side
    161,550x = 61,488,129,024
  5. Step 5: Solve for x
    x = 61,488,129,024/161,550
  6. Step 6: Final answer
    x = 380,613.61

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.