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Finding the Third Proportional to 112,288 and 242,392

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Solution

The third proportional to 112,288 and 242,392 is: 523,242.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,288 : 242,392 = 242,392 : x
  2. Step 2: Convert to fraction form
    112,288/242,392 = 242,392/x
  3. Step 3: Cross multiply
    112,288x = 242,392 × 242,392
  4. Step 4: Simplify right side
    112,288x = 58,753,881,664
  5. Step 5: Solve for x
    x = 58,753,881,664/112,288
  6. Step 6: Final answer
    x = 523,242.75

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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.