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Finding the Third Proportional to 181,007.25 and 238,025.25

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Solution

The third proportional to 181,007.25 and 238,025.25 is: 313,004.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,007.25 : 238,025.25 = 238,025.25 : x
  2. Step 2: Convert to fraction form
    181,007.25/238,025.25 = 238,025.25/x
  3. Step 3: Cross multiply
    181,007.25x = 238,025.25 × 238,025.25
  4. Step 4: Simplify right side
    181,007.25x = 56,656,019,637.56
  5. Step 5: Solve for x
    x = 56,656,019,637.56/181,007.25
  6. Step 6: Final answer
    x = 313,004.15

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Why These Related Problems?

These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.