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Finding the Third Proportional to 187,026 and 400,314

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Solution

The third proportional to 187,026 and 400,314 is: 856,839.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,026 : 400,314 = 400,314 : x
  2. Step 2: Convert to fraction form
    187,026/400,314 = 400,314/x
  3. Step 3: Cross multiply
    187,026x = 400,314 × 400,314
  4. Step 4: Simplify right side
    187,026x = 160,251,298,596
  5. Step 5: Solve for x
    x = 160,251,298,596/187,026
  6. Step 6: Final answer
    x = 856,839.68

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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.