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Finding the Third Proportional to 194,076 and 291,366

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Solution

The third proportional to 194,076 and 291,366 is: 437,427.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,076 : 291,366 = 291,366 : x
  2. Step 2: Convert to fraction form
    194,076/291,366 = 291,366/x
  3. Step 3: Cross multiply
    194,076x = 291,366 × 291,366
  4. Step 4: Simplify right side
    194,076x = 84,894,145,956
  5. Step 5: Solve for x
    x = 84,894,145,956/194,076
  6. Step 6: Final answer
    x = 437,427.33

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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.