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Finding the Third Proportional to 202,876.31 and 441,018

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Solution

The third proportional to 202,876.31 and 441,018 is: 958,696.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,876.31 : 441,018 = 441,018 : x
  2. Step 2: Convert to fraction form
    202,876.31/441,018 = 441,018/x
  3. Step 3: Cross multiply
    202,876.31x = 441,018 × 441,018
  4. Step 4: Simplify right side
    202,876.31x = 194,496,876,324
  5. Step 5: Solve for x
    x = 194,496,876,324/202,876.31
  6. Step 6: Final answer
    x = 958,696.82

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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.