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Finding the Third Proportional to 187,246 and 400,844

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Solution

The third proportional to 187,246 and 400,844 is: 858,100.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,246 : 400,844 = 400,844 : x
  2. Step 2: Convert to fraction form
    187,246/400,844 = 400,844/x
  3. Step 3: Cross multiply
    187,246x = 400,844 × 400,844
  4. Step 4: Simplify right side
    187,246x = 160,675,912,336
  5. Step 5: Solve for x
    x = 160,675,912,336/187,246
  6. Step 6: Final answer
    x = 858,100.64

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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.