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Finding the Third Proportional to 92,284 and 200,578

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Solution

The third proportional to 92,284 and 200,578 is: 435,953.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,284 : 200,578 = 200,578 : x
  2. Step 2: Convert to fraction form
    92,284/200,578 = 200,578/x
  3. Step 3: Cross multiply
    92,284x = 200,578 × 200,578
  4. Step 4: Simplify right side
    92,284x = 40,231,534,084
  5. Step 5: Solve for x
    x = 40,231,534,084/92,284
  6. Step 6: Final answer
    x = 435,953.51

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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.