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Finding the Third Proportional to 239,586.75 and 370,923.75

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Solution

The third proportional to 239,586.75 and 370,923.75 is: 574,257.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    239,586.75 : 370,923.75 = 370,923.75 : x
  2. Step 2: Convert to fraction form
    239,586.75/370,923.75 = 370,923.75/x
  3. Step 3: Cross multiply
    239,586.75x = 370,923.75 × 370,923.75
  4. Step 4: Simplify right side
    239,586.75x = 137,584,428,314.06
  5. Step 5: Solve for x
    x = 137,584,428,314.06/239,586.75
  6. Step 6: Final answer
    x = 574,257.25

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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.