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Finding the Third Proportional to 110,322.56 and 165,335.63

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Solution

The third proportional to 110,322.56 and 165,335.63 is: 247,781.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,322.56 : 165,335.63 = 165,335.63 : x
  2. Step 2: Convert to fraction form
    110,322.56/165,335.63 = 165,335.63/x
  3. Step 3: Cross multiply
    110,322.56x = 165,335.63 × 165,335.63
  4. Step 4: Simplify right side
    110,322.56x = 27,335,868,894.14
  5. Step 5: Solve for x
    x = 27,335,868,894.14/110,322.56
  6. Step 6: Final answer
    x = 247,781.31

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.