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Finding the Third Proportional to 200,616 and 304,864

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Solution

The third proportional to 200,616 and 304,864 is: 463,283.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,616 : 304,864 = 304,864 : x
  2. Step 2: Convert to fraction form
    200,616/304,864 = 304,864/x
  3. Step 3: Cross multiply
    200,616x = 304,864 × 304,864
  4. Step 4: Simplify right side
    200,616x = 92,942,058,496
  5. Step 5: Solve for x
    x = 92,942,058,496/200,616
  6. Step 6: Final answer
    x = 463,283.38

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.