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Finding the Third Proportional to 181,001.25 and 238,016.25

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Solution

The third proportional to 181,001.25 and 238,016.25 is: 312,990.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,001.25 : 238,016.25 = 238,016.25 : x
  2. Step 2: Convert to fraction form
    181,001.25/238,016.25 = 238,016.25/x
  3. Step 3: Cross multiply
    181,001.25x = 238,016.25 × 238,016.25
  4. Step 4: Simplify right side
    181,001.25x = 56,651,735,264.06
  5. Step 5: Solve for x
    x = 56,651,735,264.06/181,001.25
  6. Step 6: Final answer
    x = 312,990.85

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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.