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Finding the Third Proportional to 110,991 and 242,259

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Solution

The third proportional to 110,991 and 242,259 is: 528,776.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,991 : 242,259 = 242,259 : x
  2. Step 2: Convert to fraction form
    110,991/242,259 = 242,259/x
  3. Step 3: Cross multiply
    110,991x = 242,259 × 242,259
  4. Step 4: Simplify right side
    110,991x = 58,689,423,081
  5. Step 5: Solve for x
    x = 58,689,423,081/110,991
  6. Step 6: Final answer
    x = 528,776.42

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.