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Finding the Third Proportional to 187,927 and 287,844

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Solution

The third proportional to 187,927 and 287,844 is: 440,884.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,927 : 287,844 = 287,844 : x
  2. Step 2: Convert to fraction form
    187,927/287,844 = 287,844/x
  3. Step 3: Cross multiply
    187,927x = 287,844 × 287,844
  4. Step 4: Simplify right side
    187,927x = 82,854,168,336
  5. Step 5: Solve for x
    x = 82,854,168,336/187,927
  6. Step 6: Final answer
    x = 440,884.86

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.