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Finding the Third Proportional to 234,900 and 362,718

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Solution

The third proportional to 234,900 and 362,718 is: 560,086.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,900 : 362,718 = 362,718 : x
  2. Step 2: Convert to fraction form
    234,900/362,718 = 362,718/x
  3. Step 3: Cross multiply
    234,900x = 362,718 × 362,718
  4. Step 4: Simplify right side
    234,900x = 131,564,347,524
  5. Step 5: Solve for x
    x = 131,564,347,524/234,900
  6. Step 6: Final answer
    x = 560,086.62

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.