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Finding the Third Proportional to 204,141 and 266,844

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Solution

The third proportional to 204,141 and 266,844 is: 348,806.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,141 : 266,844 = 266,844 : x
  2. Step 2: Convert to fraction form
    204,141/266,844 = 266,844/x
  3. Step 3: Cross multiply
    204,141x = 266,844 × 266,844
  4. Step 4: Simplify right side
    204,141x = 71,205,720,336
  5. Step 5: Solve for x
    x = 71,205,720,336/204,141
  6. Step 6: Final answer
    x = 348,806.56

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.