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Finding the Third Proportional to 110,565 and 166,404.38

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Solution

The third proportional to 110,565 and 166,404.38 is: 250,444.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,565 : 166,404.38 = 166,404.38 : x
  2. Step 2: Convert to fraction form
    110,565/166,404.38 = 166,404.38/x
  3. Step 3: Cross multiply
    110,565x = 166,404.38 × 166,404.38
  4. Step 4: Simplify right side
    110,565x = 27,690,416,019.14
  5. Step 5: Solve for x
    x = 27,690,416,019.14/110,565
  6. Step 6: Final answer
    x = 250,444.68

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.