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Finding the Third Proportional to 194,902 and 291,569

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Solution

The third proportional to 194,902 and 291,569 is: 436,180.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,902 : 291,569 = 291,569 : x
  2. Step 2: Convert to fraction form
    194,902/291,569 = 291,569/x
  3. Step 3: Cross multiply
    194,902x = 291,569 × 291,569
  4. Step 4: Simplify right side
    194,902x = 85,012,481,761
  5. Step 5: Solve for x
    x = 85,012,481,761/194,902
  6. Step 6: Final answer
    x = 436,180.65

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.