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Finding the Third Proportional to 164,010.38 and 267,816.38

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Solution

The third proportional to 164,010.38 and 267,816.38 is: 437,323.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,010.38 : 267,816.38 = 267,816.38 : x
  2. Step 2: Convert to fraction form
    164,010.38/267,816.38 = 267,816.38/x
  3. Step 3: Cross multiply
    164,010.38x = 267,816.38 × 267,816.38
  4. Step 4: Simplify right side
    164,010.38x = 71,725,610,718.14
  5. Step 5: Solve for x
    x = 71,725,610,718.14/164,010.38
  6. Step 6: Final answer
    x = 437,323.62

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Why These Related Problems?

These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.