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Finding the Third Proportional to 199,449 and 299,313

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Solution

The third proportional to 199,449 and 299,313 is: 449,178.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,449 : 299,313 = 299,313 : x
  2. Step 2: Convert to fraction form
    199,449/299,313 = 299,313/x
  3. Step 3: Cross multiply
    199,449x = 299,313 × 299,313
  4. Step 4: Simplify right side
    199,449x = 89,588,271,969
  5. Step 5: Solve for x
    x = 89,588,271,969/199,449
  6. Step 6: Final answer
    x = 449,178.85

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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.