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Finding the Third Proportional to 154,392.75 and 342,078.75

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Solution

The third proportional to 154,392.75 and 342,078.75 is: 757,923.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,392.75 : 342,078.75 = 342,078.75 : x
  2. Step 2: Convert to fraction form
    154,392.75/342,078.75 = 342,078.75/x
  3. Step 3: Cross multiply
    154,392.75x = 342,078.75 × 342,078.75
  4. Step 4: Simplify right side
    154,392.75x = 117,017,871,201.56
  5. Step 5: Solve for x
    x = 117,017,871,201.56/154,392.75
  6. Step 6: Final answer
    x = 757,923.36

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.