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Finding the Third Proportional to 110,249 and 241,518

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Solution

The third proportional to 110,249 and 241,518 is: 529,083.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,249 : 241,518 = 241,518 : x
  2. Step 2: Convert to fraction form
    110,249/241,518 = 241,518/x
  3. Step 3: Cross multiply
    110,249x = 241,518 × 241,518
  4. Step 4: Simplify right side
    110,249x = 58,330,944,324
  5. Step 5: Solve for x
    x = 58,330,944,324/110,249
  6. Step 6: Final answer
    x = 529,083.66

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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.