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Finding the Third Proportional to 110,694 and 242,166

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Solution

The third proportional to 110,694 and 242,166 is: 529,788.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,694 : 242,166 = 242,166 : x
  2. Step 2: Convert to fraction form
    110,694/242,166 = 242,166/x
  3. Step 3: Cross multiply
    110,694x = 242,166 × 242,166
  4. Step 4: Simplify right side
    110,694x = 58,644,371,556
  5. Step 5: Solve for x
    x = 58,644,371,556/110,694
  6. Step 6: Final answer
    x = 529,788.17

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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.