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Finding the Third Proportional to 161,652 and 349,116

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Solution

The third proportional to 161,652 and 349,116 is: 753,977.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,652 : 349,116 = 349,116 : x
  2. Step 2: Convert to fraction form
    161,652/349,116 = 349,116/x
  3. Step 3: Cross multiply
    161,652x = 349,116 × 349,116
  4. Step 4: Simplify right side
    161,652x = 121,881,981,456
  5. Step 5: Solve for x
    x = 121,881,981,456/161,652
  6. Step 6: Final answer
    x = 753,977.57

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.