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Finding the Third Proportional to 200,880 and 294,759

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Solution

The third proportional to 200,880 and 294,759 is: 432,511.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,880 : 294,759 = 294,759 : x
  2. Step 2: Convert to fraction form
    200,880/294,759 = 294,759/x
  3. Step 3: Cross multiply
    200,880x = 294,759 × 294,759
  4. Step 4: Simplify right side
    200,880x = 86,882,868,081
  5. Step 5: Solve for x
    x = 86,882,868,081/200,880
  6. Step 6: Final answer
    x = 432,511.29

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.