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Finding the Third Proportional to 200,304 and 299,832

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Solution

The third proportional to 200,304 and 299,832 is: 448,813.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,304 : 299,832 = 299,832 : x
  2. Step 2: Convert to fraction form
    200,304/299,832 = 299,832/x
  3. Step 3: Cross multiply
    200,304x = 299,832 × 299,832
  4. Step 4: Simplify right side
    200,304x = 89,899,228,224
  5. Step 5: Solve for x
    x = 89,899,228,224/200,304
  6. Step 6: Final answer
    x = 448,813.94

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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.