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Finding the Third Proportional to 255,151.75 and 398,239.75

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Solution

The third proportional to 255,151.75 and 398,239.75 is: 621,570.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,151.75 : 398,239.75 = 398,239.75 : x
  2. Step 2: Convert to fraction form
    255,151.75/398,239.75 = 398,239.75/x
  3. Step 3: Cross multiply
    255,151.75x = 398,239.75 × 398,239.75
  4. Step 4: Simplify right side
    255,151.75x = 158,594,898,480.06
  5. Step 5: Solve for x
    x = 158,594,898,480.06/255,151.75
  6. Step 6: Final answer
    x = 621,570.88

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.