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Finding the Third Proportional to 154,399.50 and 233,255.25

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Solution

The third proportional to 154,399.50 and 233,255.25 is: 352,384.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,399.50 : 233,255.25 = 233,255.25 : x
  2. Step 2: Convert to fraction form
    154,399.50/233,255.25 = 233,255.25/x
  3. Step 3: Cross multiply
    154,399.50x = 233,255.25 × 233,255.25
  4. Step 4: Simplify right side
    154,399.50x = 54,408,011,652.56
  5. Step 5: Solve for x
    x = 54,408,011,652.56/154,399.50
  6. Step 6: Final answer
    x = 352,384.64

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.