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Finding the Third Proportional to 232,557.75 and 350,659.13

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Solution

The third proportional to 232,557.75 and 350,659.13 is: 528,736.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,557.75 : 350,659.13 = 350,659.13 : x
  2. Step 2: Convert to fraction form
    232,557.75/350,659.13 = 350,659.13/x
  3. Step 3: Cross multiply
    232,557.75x = 350,659.13 × 350,659.13
  4. Step 4: Simplify right side
    232,557.75x = 122,961,821,945.77
  5. Step 5: Solve for x
    x = 122,961,821,945.77/232,557.75
  6. Step 6: Final answer
    x = 528,736.72

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.