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Finding the Third Proportional to 140,265 and 303,858

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Solution

The third proportional to 140,265 and 303,858 is: 658,251.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,265 : 303,858 = 303,858 : x
  2. Step 2: Convert to fraction form
    140,265/303,858 = 303,858/x
  3. Step 3: Cross multiply
    140,265x = 303,858 × 303,858
  4. Step 4: Simplify right side
    140,265x = 92,329,684,164
  5. Step 5: Solve for x
    x = 92,329,684,164/140,265
  6. Step 6: Final answer
    x = 658,251.77

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.