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Finding the Third Proportional to 92,671 and 202,334

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Solution

The third proportional to 92,671 and 202,334 is: 441,767.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,671 : 202,334 = 202,334 : x
  2. Step 2: Convert to fraction form
    92,671/202,334 = 202,334/x
  3. Step 3: Cross multiply
    92,671x = 202,334 × 202,334
  4. Step 4: Simplify right side
    92,671x = 40,939,047,556
  5. Step 5: Solve for x
    x = 40,939,047,556/92,671
  6. Step 6: Final answer
    x = 441,767.62

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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.