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Finding the Third Proportional to 92,674.13 and 202,338

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Solution

The third proportional to 92,674.13 and 202,338 is: 441,770.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,674.13 : 202,338 = 202,338 : x
  2. Step 2: Convert to fraction form
    92,674.13/202,338 = 202,338/x
  3. Step 3: Cross multiply
    92,674.13x = 202,338 × 202,338
  4. Step 4: Simplify right side
    92,674.13x = 40,940,666,244
  5. Step 5: Solve for x
    x = 40,940,666,244/92,674.13
  6. Step 6: Final answer
    x = 441,770.19

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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.