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Finding the Third Proportional to 199,230 and 299,061

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Solution

The third proportional to 199,230 and 299,061 is: 448,915.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,230 : 299,061 = 299,061 : x
  2. Step 2: Convert to fraction form
    199,230/299,061 = 299,061/x
  3. Step 3: Cross multiply
    199,230x = 299,061 × 299,061
  4. Step 4: Simplify right side
    199,230x = 89,437,481,721
  5. Step 5: Solve for x
    x = 89,437,481,721/199,230
  6. Step 6: Final answer
    x = 448,915.73

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.