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Finding the Third Proportional to 182,594.25 and 398,792.25

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Solution

The third proportional to 182,594.25 and 398,792.25 is: 870,976.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,594.25 : 398,792.25 = 398,792.25 : x
  2. Step 2: Convert to fraction form
    182,594.25/398,792.25 = 398,792.25/x
  3. Step 3: Cross multiply
    182,594.25x = 398,792.25 × 398,792.25
  4. Step 4: Simplify right side
    182,594.25x = 159,035,258,660.06
  5. Step 5: Solve for x
    x = 159,035,258,660.06/182,594.25
  6. Step 6: Final answer
    x = 870,976.27

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.