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Finding the Third Proportional to 235,372 and 518,251

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Solution

The third proportional to 235,372 and 518,251 is: 1,141,104.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,372 : 518,251 = 518,251 : x
  2. Step 2: Convert to fraction form
    235,372/518,251 = 518,251/x
  3. Step 3: Cross multiply
    235,372x = 518,251 × 518,251
  4. Step 4: Simplify right side
    235,372x = 268,584,099,001
  5. Step 5: Solve for x
    x = 268,584,099,001/235,372
  6. Step 6: Final answer
    x = 1,141,104.72

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.