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Finding the Third Proportional to 110,360 and 170,849

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Solution

The third proportional to 110,360 and 170,849 is: 264,492.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,360 : 170,849 = 170,849 : x
  2. Step 2: Convert to fraction form
    110,360/170,849 = 170,849/x
  3. Step 3: Cross multiply
    110,360x = 170,849 × 170,849
  4. Step 4: Simplify right side
    110,360x = 29,189,380,801
  5. Step 5: Solve for x
    x = 29,189,380,801/110,360
  6. Step 6: Final answer
    x = 264,492.40

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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.