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Finding the Third Proportional to 128,215.13 and 332,840.25

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Solution

The third proportional to 128,215.13 and 332,840.25 is: 864,037.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,215.13 : 332,840.25 = 332,840.25 : x
  2. Step 2: Convert to fraction form
    128,215.13/332,840.25 = 332,840.25/x
  3. Step 3: Cross multiply
    128,215.13x = 332,840.25 × 332,840.25
  4. Step 4: Simplify right side
    128,215.13x = 110,782,632,020.06
  5. Step 5: Solve for x
    x = 110,782,632,020.06/128,215.13
  6. Step 6: Final answer
    x = 864,037.16

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These problems maintain the same ratio (2.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.