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Finding the Third Proportional to 158,297.63 and 332,997.75

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Solution

The third proportional to 158,297.63 and 332,997.75 is: 700,500.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,297.63 : 332,997.75 = 332,997.75 : x
  2. Step 2: Convert to fraction form
    158,297.63/332,997.75 = 332,997.75/x
  3. Step 3: Cross multiply
    158,297.63x = 332,997.75 × 332,997.75
  4. Step 4: Simplify right side
    158,297.63x = 110,887,501,505.06
  5. Step 5: Solve for x
    x = 110,887,501,505.06/158,297.63
  6. Step 6: Final answer
    x = 700,500.10

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.