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Finding the Third Proportional to 110,781 and 242,298

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Solution

The third proportional to 110,781 and 242,298 is: 529,949.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,781 : 242,298 = 242,298 : x
  2. Step 2: Convert to fraction form
    110,781/242,298 = 242,298/x
  3. Step 3: Cross multiply
    110,781x = 242,298 × 242,298
  4. Step 4: Simplify right side
    110,781x = 58,708,320,804
  5. Step 5: Solve for x
    x = 58,708,320,804/110,781
  6. Step 6: Final answer
    x = 529,949.37

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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.