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Finding the Third Proportional to 110,856 and 242,416

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Solution

The third proportional to 110,856 and 242,416 is: 530,106.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,856 : 242,416 = 242,416 : x
  2. Step 2: Convert to fraction form
    110,856/242,416 = 242,416/x
  3. Step 3: Cross multiply
    110,856x = 242,416 × 242,416
  4. Step 4: Simplify right side
    110,856x = 58,765,517,056
  5. Step 5: Solve for x
    x = 58,765,517,056/110,856
  6. Step 6: Final answer
    x = 530,106.78

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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.