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Finding the Third Proportional to 200,869 and 266,574

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Solution

The third proportional to 200,869 and 266,574 is: 353,771.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,869 : 266,574 = 266,574 : x
  2. Step 2: Convert to fraction form
    200,869/266,574 = 266,574/x
  3. Step 3: Cross multiply
    200,869x = 266,574 × 266,574
  4. Step 4: Simplify right side
    200,869x = 71,061,697,476
  5. Step 5: Solve for x
    x = 71,061,697,476/200,869
  6. Step 6: Final answer
    x = 353,771.35

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.