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Finding the Third Proportional to 177,921.56 and 254,831.06

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Solution

The third proportional to 177,921.56 and 254,831.06 is: 364,985.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,921.56 : 254,831.06 = 254,831.06 : x
  2. Step 2: Convert to fraction form
    177,921.56/254,831.06 = 254,831.06/x
  3. Step 3: Cross multiply
    177,921.56x = 254,831.06 × 254,831.06
  4. Step 4: Simplify right side
    177,921.56x = 64,938,870,414.88
  5. Step 5: Solve for x
    x = 64,938,870,414.88/177,921.56
  6. Step 6: Final answer
    x = 364,985.95

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.