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Finding the Third Proportional to 158,272.31 and 322,407

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Solution

The third proportional to 158,272.31 and 322,407 is: 656,755.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,272.31 : 322,407 = 322,407 : x
  2. Step 2: Convert to fraction form
    158,272.31/322,407 = 322,407/x
  3. Step 3: Cross multiply
    158,272.31x = 322,407 × 322,407
  4. Step 4: Simplify right side
    158,272.31x = 103,946,273,649
  5. Step 5: Solve for x
    x = 103,946,273,649/158,272.31
  6. Step 6: Final answer
    x = 656,755.89

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.