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Finding the Third Proportional to 110,170.13 and 241,097.77

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Solution

The third proportional to 110,170.13 and 241,097.77 is: 527,621.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,170.13 : 241,097.77 = 241,097.77 : x
  2. Step 2: Convert to fraction form
    110,170.13/241,097.77 = 241,097.77/x
  3. Step 3: Cross multiply
    110,170.13x = 241,097.77 × 241,097.77
  4. Step 4: Simplify right side
    110,170.13x = 58,128,132,589.37
  5. Step 5: Solve for x
    x = 58,128,132,589.37/110,170.13
  6. Step 6: Final answer
    x = 527,621.55

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.