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Finding the Third Proportional to 110,349 and 171,177

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Solution

The third proportional to 110,349 and 171,177 is: 265,535.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,349 : 171,177 = 171,177 : x
  2. Step 2: Convert to fraction form
    110,349/171,177 = 171,177/x
  3. Step 3: Cross multiply
    110,349x = 171,177 × 171,177
  4. Step 4: Simplify right side
    110,349x = 29,301,565,329
  5. Step 5: Solve for x
    x = 29,301,565,329/110,349
  6. Step 6: Final answer
    x = 265,535.40

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.