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Finding the Third Proportional to 154,507.50 and 239,112

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Solution

The third proportional to 154,507.50 and 239,112 is: 370,043.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,507.50 : 239,112 = 239,112 : x
  2. Step 2: Convert to fraction form
    154,507.50/239,112 = 239,112/x
  3. Step 3: Cross multiply
    154,507.50x = 239,112 × 239,112
  4. Step 4: Simplify right side
    154,507.50x = 57,174,548,544
  5. Step 5: Solve for x
    x = 57,174,548,544/154,507.50
  6. Step 6: Final answer
    x = 370,043.84

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