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Finding the Third Proportional to 194,539 and 291,809

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Solution

The third proportional to 194,539 and 291,809 is: 437,714.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,539 : 291,809 = 291,809 : x
  2. Step 2: Convert to fraction form
    194,539/291,809 = 291,809/x
  3. Step 3: Cross multiply
    194,539x = 291,809 × 291,809
  4. Step 4: Simplify right side
    194,539x = 85,152,492,481
  5. Step 5: Solve for x
    x = 85,152,492,481/194,539
  6. Step 6: Final answer
    x = 437,714.25

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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.