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Finding the Third Proportional to 167,133.38 and 251,498.25

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Solution

The third proportional to 167,133.38 and 251,498.25 is: 378,448.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,133.38 : 251,498.25 = 251,498.25 : x
  2. Step 2: Convert to fraction form
    167,133.38/251,498.25 = 251,498.25/x
  3. Step 3: Cross multiply
    167,133.38x = 251,498.25 × 251,498.25
  4. Step 4: Simplify right side
    167,133.38x = 63,251,369,753.06
  5. Step 5: Solve for x
    x = 63,251,369,753.06/167,133.38
  6. Step 6: Final answer
    x = 378,448.47

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.