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Finding the Third Proportional to 112,233 and 242,270

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Solution

The third proportional to 112,233 and 242,270 is: 522,972.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,233 : 242,270 = 242,270 : x
  2. Step 2: Convert to fraction form
    112,233/242,270 = 242,270/x
  3. Step 3: Cross multiply
    112,233x = 242,270 × 242,270
  4. Step 4: Simplify right side
    112,233x = 58,694,752,900
  5. Step 5: Solve for x
    x = 58,694,752,900/112,233
  6. Step 6: Final answer
    x = 522,972.32

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.