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Finding the Third Proportional to 185,652 and 298,927

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Solution

The third proportional to 185,652 and 298,927 is: 481,316.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,652 : 298,927 = 298,927 : x
  2. Step 2: Convert to fraction form
    185,652/298,927 = 298,927/x
  3. Step 3: Cross multiply
    185,652x = 298,927 × 298,927
  4. Step 4: Simplify right side
    185,652x = 89,357,351,329
  5. Step 5: Solve for x
    x = 89,357,351,329/185,652
  6. Step 6: Final answer
    x = 481,316.39

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.