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Finding the Third Proportional to 194,550 and 291,393

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Solution

The third proportional to 194,550 and 291,393 is: 436,442.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,550 : 291,393 = 291,393 : x
  2. Step 2: Convert to fraction form
    194,550/291,393 = 291,393/x
  3. Step 3: Cross multiply
    194,550x = 291,393 × 291,393
  4. Step 4: Simplify right side
    194,550x = 84,909,880,449
  5. Step 5: Solve for x
    x = 84,909,880,449/194,550
  6. Step 6: Final answer
    x = 436,442.46

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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.