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Finding the Third Proportional to 177,331.92 and 248,831.86

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Solution

The third proportional to 177,331.92 and 248,831.86 is: 349,160.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,331.92 : 248,831.86 = 248,831.86 : x
  2. Step 2: Convert to fraction form
    177,331.92/248,831.86 = 248,831.86/x
  3. Step 3: Cross multiply
    177,331.92x = 248,831.86 × 248,831.86
  4. Step 4: Simplify right side
    177,331.92x = 61,917,294,240.02
  5. Step 5: Solve for x
    x = 61,917,294,240.02/177,331.92
  6. Step 6: Final answer
    x = 349,160.45

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.