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Finding the Third Proportional to 92,505 and 200,562

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Solution

The third proportional to 92,505 and 200,562 is: 434,842.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,505 : 200,562 = 200,562 : x
  2. Step 2: Convert to fraction form
    92,505/200,562 = 200,562/x
  3. Step 3: Cross multiply
    92,505x = 200,562 × 200,562
  4. Step 4: Simplify right side
    92,505x = 40,225,115,844
  5. Step 5: Solve for x
    x = 40,225,115,844/92,505
  6. Step 6: Final answer
    x = 434,842.61

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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.