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Finding the Third Proportional to 110,926.97 and 242,844.19

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Solution

The third proportional to 110,926.97 and 242,844.19 is: 531,640.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,926.97 : 242,844.19 = 242,844.19 : x
  2. Step 2: Convert to fraction form
    110,926.97/242,844.19 = 242,844.19/x
  3. Step 3: Cross multiply
    110,926.97x = 242,844.19 × 242,844.19
  4. Step 4: Simplify right side
    110,926.97x = 58,973,299,402.54
  5. Step 5: Solve for x
    x = 58,973,299,402.54/110,926.97
  6. Step 6: Final answer
    x = 531,640.77

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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.