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Finding the Third Proportional to 114,147.28 and 177,436.41

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Solution

The third proportional to 114,147.28 and 177,436.41 is: 275,816.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,147.28 : 177,436.41 = 177,436.41 : x
  2. Step 2: Convert to fraction form
    114,147.28/177,436.41 = 177,436.41/x
  3. Step 3: Cross multiply
    114,147.28x = 177,436.41 × 177,436.41
  4. Step 4: Simplify right side
    114,147.28x = 31,483,678,262.92
  5. Step 5: Solve for x
    x = 31,483,678,262.92/114,147.28
  6. Step 6: Final answer
    x = 275,816.28

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.