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Finding the Third Proportional to 147,683.25 and 221,479.31

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Solution

The third proportional to 147,683.25 and 221,479.31 is: 332,150.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,683.25 : 221,479.31 = 221,479.31 : x
  2. Step 2: Convert to fraction form
    147,683.25/221,479.31 = 221,479.31/x
  3. Step 3: Cross multiply
    147,683.25x = 221,479.31 × 221,479.31
  4. Step 4: Simplify right side
    147,683.25x = 49,053,085,865.47
  5. Step 5: Solve for x
    x = 49,053,085,865.47/147,683.25
  6. Step 6: Final answer
    x = 332,150.64

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.