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Finding the Third Proportional to 110,765.81 and 242,976.19

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Solution

The third proportional to 110,765.81 and 242,976.19 is: 532,993.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,765.81 : 242,976.19 = 242,976.19 : x
  2. Step 2: Convert to fraction form
    110,765.81/242,976.19 = 242,976.19/x
  3. Step 3: Cross multiply
    110,765.81x = 242,976.19 × 242,976.19
  4. Step 4: Simplify right side
    110,765.81x = 59,037,427,692.04
  5. Step 5: Solve for x
    x = 59,037,427,692.04/110,765.81
  6. Step 6: Final answer
    x = 532,993.23

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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.