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Finding the Third Proportional to 185,945 and 295,496

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Solution

The third proportional to 185,945 and 295,496 is: 469,589.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,945 : 295,496 = 295,496 : x
  2. Step 2: Convert to fraction form
    185,945/295,496 = 295,496/x
  3. Step 3: Cross multiply
    185,945x = 295,496 × 295,496
  4. Step 4: Simplify right side
    185,945x = 87,317,886,016
  5. Step 5: Solve for x
    x = 87,317,886,016/185,945
  6. Step 6: Final answer
    x = 469,589.86

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.