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Finding the Third Proportional to 133,698 and 200,574

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Solution

The third proportional to 133,698 and 200,574 is: 300,901.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,698 : 200,574 = 200,574 : x
  2. Step 2: Convert to fraction form
    133,698/200,574 = 200,574/x
  3. Step 3: Cross multiply
    133,698x = 200,574 × 200,574
  4. Step 4: Simplify right side
    133,698x = 40,229,929,476
  5. Step 5: Solve for x
    x = 40,229,929,476/133,698
  6. Step 6: Final answer
    x = 300,901.51

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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.