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Finding the Third Proportional to 110,468 and 242,408

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Solution

The third proportional to 110,468 and 242,408 is: 531,933.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,468 : 242,408 = 242,408 : x
  2. Step 2: Convert to fraction form
    110,468/242,408 = 242,408/x
  3. Step 3: Cross multiply
    110,468x = 242,408 × 242,408
  4. Step 4: Simplify right side
    110,468x = 58,761,638,464
  5. Step 5: Solve for x
    x = 58,761,638,464/110,468
  6. Step 6: Final answer
    x = 531,933.58

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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.