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Finding the Third Proportional to 195,496 and 304,916

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Solution

The third proportional to 195,496 and 304,916 is: 475,578.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,496 : 304,916 = 304,916 : x
  2. Step 2: Convert to fraction form
    195,496/304,916 = 304,916/x
  3. Step 3: Cross multiply
    195,496x = 304,916 × 304,916
  4. Step 4: Simplify right side
    195,496x = 92,973,767,056
  5. Step 5: Solve for x
    x = 92,973,767,056/195,496
  6. Step 6: Final answer
    x = 475,578.87

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.