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Finding the Third Proportional to 181,831.50 and 395,707.50

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Solution

The third proportional to 181,831.50 and 395,707.50 is: 861,151.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,831.50 : 395,707.50 = 395,707.50 : x
  2. Step 2: Convert to fraction form
    181,831.50/395,707.50 = 395,707.50/x
  3. Step 3: Cross multiply
    181,831.50x = 395,707.50 × 395,707.50
  4. Step 4: Simplify right side
    181,831.50x = 156,584,425,556.25
  5. Step 5: Solve for x
    x = 156,584,425,556.25/181,831.50
  6. Step 6: Final answer
    x = 861,151.26

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.