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Finding the Third Proportional to 92,267 and 200,526

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Solution

The third proportional to 92,267 and 200,526 is: 435,807.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,267 : 200,526 = 200,526 : x
  2. Step 2: Convert to fraction form
    92,267/200,526 = 200,526/x
  3. Step 3: Cross multiply
    92,267x = 200,526 × 200,526
  4. Step 4: Simplify right side
    92,267x = 40,210,676,676
  5. Step 5: Solve for x
    x = 40,210,676,676/92,267
  6. Step 6: Final answer
    x = 435,807.78

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.