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Finding the Third Proportional to 194,724 and 425,493

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Solution

The third proportional to 194,724 and 425,493 is: 929,748.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,724 : 425,493 = 425,493 : x
  2. Step 2: Convert to fraction form
    194,724/425,493 = 425,493/x
  3. Step 3: Cross multiply
    194,724x = 425,493 × 425,493
  4. Step 4: Simplify right side
    194,724x = 181,044,293,049
  5. Step 5: Solve for x
    x = 181,044,293,049/194,724
  6. Step 6: Final answer
    x = 929,748.22

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.