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Finding the Third Proportional to 92,178 and 200,745

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Solution

The third proportional to 92,178 and 200,745 is: 437,181.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,178 : 200,745 = 200,745 : x
  2. Step 2: Convert to fraction form
    92,178/200,745 = 200,745/x
  3. Step 3: Cross multiply
    92,178x = 200,745 × 200,745
  4. Step 4: Simplify right side
    92,178x = 40,298,555,025
  5. Step 5: Solve for x
    x = 40,298,555,025/92,178
  6. Step 6: Final answer
    x = 437,181.92

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.