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Finding the Third Proportional to 180,151 and 394,159

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Solution

The third proportional to 180,151 and 394,159 is: 862,394.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,151 : 394,159 = 394,159 : x
  2. Step 2: Convert to fraction form
    180,151/394,159 = 394,159/x
  3. Step 3: Cross multiply
    180,151x = 394,159 × 394,159
  4. Step 4: Simplify right side
    180,151x = 155,361,317,281
  5. Step 5: Solve for x
    x = 155,361,317,281/180,151
  6. Step 6: Final answer
    x = 862,394.98

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.