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Finding the Third Proportional to 232,568.30 and 350,213.63

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Solution

The third proportional to 232,568.30 and 350,213.63 is: 527,370.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,568.30 : 350,213.63 = 350,213.63 : x
  2. Step 2: Convert to fraction form
    232,568.30/350,213.63 = 350,213.63/x
  3. Step 3: Cross multiply
    232,568.30x = 350,213.63 × 350,213.63
  4. Step 4: Simplify right side
    232,568.30x = 122,649,583,135.64
  5. Step 5: Solve for x
    x = 122,649,583,135.64/232,568.30
  6. Step 6: Final answer
    x = 527,370.17

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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.