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Finding the Third Proportional to 235,918 and 375,251

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Solution

The third proportional to 235,918 and 375,251 is: 596,873.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,918 : 375,251 = 375,251 : x
  2. Step 2: Convert to fraction form
    235,918/375,251 = 375,251/x
  3. Step 3: Cross multiply
    235,918x = 375,251 × 375,251
  4. Step 4: Simplify right side
    235,918x = 140,813,313,001
  5. Step 5: Solve for x
    x = 140,813,313,001/235,918
  6. Step 6: Final answer
    x = 596,873.97

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.