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Finding the Third Proportional to 92,281 and 200,570

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Solution

The third proportional to 92,281 and 200,570 is: 435,932.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,281 : 200,570 = 200,570 : x
  2. Step 2: Convert to fraction form
    92,281/200,570 = 200,570/x
  3. Step 3: Cross multiply
    92,281x = 200,570 × 200,570
  4. Step 4: Simplify right side
    92,281x = 40,228,324,900
  5. Step 5: Solve for x
    x = 40,228,324,900/92,281
  6. Step 6: Final answer
    x = 435,932.91

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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.