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Finding the Third Proportional to 164,006.44 and 267,807.94

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Solution

The third proportional to 164,006.44 and 267,807.94 is: 437,306.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,006.44 : 267,807.94 = 267,807.94 : x
  2. Step 2: Convert to fraction form
    164,006.44/267,807.94 = 267,807.94/x
  3. Step 3: Cross multiply
    164,006.44x = 267,807.94 × 267,807.94
  4. Step 4: Simplify right side
    164,006.44x = 71,721,091,388.00
  5. Step 5: Solve for x
    x = 71,721,091,388.00/164,006.44
  6. Step 6: Final answer
    x = 437,306.56

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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.