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Finding the Third Proportional to 110,992 and 242,261

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Solution

The third proportional to 110,992 and 242,261 is: 528,780.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,992 : 242,261 = 242,261 : x
  2. Step 2: Convert to fraction form
    110,992/242,261 = 242,261/x
  3. Step 3: Cross multiply
    110,992x = 242,261 × 242,261
  4. Step 4: Simplify right side
    110,992x = 58,690,392,121
  5. Step 5: Solve for x
    x = 58,690,392,121/110,992
  6. Step 6: Final answer
    x = 528,780.38

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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.