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Finding the Third Proportional to 112,416 and 242,208

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Solution

The third proportional to 112,416 and 242,208 is: 521,853.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,416 : 242,208 = 242,208 : x
  2. Step 2: Convert to fraction form
    112,416/242,208 = 242,208/x
  3. Step 3: Cross multiply
    112,416x = 242,208 × 242,208
  4. Step 4: Simplify right side
    112,416x = 58,664,715,264
  5. Step 5: Solve for x
    x = 58,664,715,264/112,416
  6. Step 6: Final answer
    x = 521,853.79

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.