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Finding the Third Proportional to 182,900 and 242,751

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Solution

The third proportional to 182,900 and 242,751 is: 322,187.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,900 : 242,751 = 242,751 : x
  2. Step 2: Convert to fraction form
    182,900/242,751 = 242,751/x
  3. Step 3: Cross multiply
    182,900x = 242,751 × 242,751
  4. Step 4: Simplify right side
    182,900x = 58,928,048,001
  5. Step 5: Solve for x
    x = 58,928,048,001/182,900
  6. Step 6: Final answer
    x = 322,187.25

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.