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Finding the Third Proportional to 110,214 and 240,408

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Solution

The third proportional to 110,214 and 240,408 is: 524,398.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,214 : 240,408 = 240,408 : x
  2. Step 2: Convert to fraction form
    110,214/240,408 = 240,408/x
  3. Step 3: Cross multiply
    110,214x = 240,408 × 240,408
  4. Step 4: Simplify right side
    110,214x = 57,796,006,464
  5. Step 5: Solve for x
    x = 57,796,006,464/110,214
  6. Step 6: Final answer
    x = 524,398.05

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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.