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Finding the Third Proportional to 187,022 and 400,306

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Solution

The third proportional to 187,022 and 400,306 is: 856,823.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,022 : 400,306 = 400,306 : x
  2. Step 2: Convert to fraction form
    187,022/400,306 = 400,306/x
  3. Step 3: Cross multiply
    187,022x = 400,306 × 400,306
  4. Step 4: Simplify right side
    187,022x = 160,244,893,636
  5. Step 5: Solve for x
    x = 160,244,893,636/187,022
  6. Step 6: Final answer
    x = 856,823.76

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.