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Finding the Third Proportional to 194,493 and 297,283

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Solution

The third proportional to 194,493 and 297,283 is: 454,397.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,493 : 297,283 = 297,283 : x
  2. Step 2: Convert to fraction form
    194,493/297,283 = 297,283/x
  3. Step 3: Cross multiply
    194,493x = 297,283 × 297,283
  4. Step 4: Simplify right side
    194,493x = 88,377,182,089
  5. Step 5: Solve for x
    x = 88,377,182,089/194,493
  6. Step 6: Final answer
    x = 454,397.75

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.