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Finding the Third Proportional to 92,812.50 and 200,286

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Solution

The third proportional to 92,812.50 and 200,286 is: 432,209.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,812.50 : 200,286 = 200,286 : x
  2. Step 2: Convert to fraction form
    92,812.50/200,286 = 200,286/x
  3. Step 3: Cross multiply
    92,812.50x = 200,286 × 200,286
  4. Step 4: Simplify right side
    92,812.50x = 40,114,481,796
  5. Step 5: Solve for x
    x = 40,114,481,796/92,812.50
  6. Step 6: Final answer
    x = 432,209.90

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.