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Finding the Third Proportional to 110,415 and 171,288

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Solution

The third proportional to 110,415 and 171,288 is: 265,720.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,415 : 171,288 = 171,288 : x
  2. Step 2: Convert to fraction form
    110,415/171,288 = 171,288/x
  3. Step 3: Cross multiply
    110,415x = 171,288 × 171,288
  4. Step 4: Simplify right side
    110,415x = 29,339,578,944
  5. Step 5: Solve for x
    x = 29,339,578,944/110,415
  6. Step 6: Final answer
    x = 265,720.95

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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.