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Finding the Third Proportional to 200,616 and 299,952

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Solution

The third proportional to 200,616 and 299,952 is: 448,474.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,616 : 299,952 = 299,952 : x
  2. Step 2: Convert to fraction form
    200,616/299,952 = 299,952/x
  3. Step 3: Cross multiply
    200,616x = 299,952 × 299,952
  4. Step 4: Simplify right side
    200,616x = 89,971,202,304
  5. Step 5: Solve for x
    x = 89,971,202,304/200,616
  6. Step 6: Final answer
    x = 448,474.71

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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.