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Finding the Third Proportional to 154,854.75 and 239,322.75

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Solution

The third proportional to 154,854.75 and 239,322.75 is: 369,865.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,854.75 : 239,322.75 = 239,322.75 : x
  2. Step 2: Convert to fraction form
    154,854.75/239,322.75 = 239,322.75/x
  3. Step 3: Cross multiply
    154,854.75x = 239,322.75 × 239,322.75
  4. Step 4: Simplify right side
    154,854.75x = 57,275,378,667.56
  5. Step 5: Solve for x
    x = 57,275,378,667.56/154,854.75
  6. Step 6: Final answer
    x = 369,865.17

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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.