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Finding the Third Proportional to 233,178.75 and 348,324.75

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Solution

The third proportional to 233,178.75 and 348,324.75 is: 520,331.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,178.75 : 348,324.75 = 348,324.75 : x
  2. Step 2: Convert to fraction form
    233,178.75/348,324.75 = 348,324.75/x
  3. Step 3: Cross multiply
    233,178.75x = 348,324.75 × 348,324.75
  4. Step 4: Simplify right side
    233,178.75x = 121,330,131,462.56
  5. Step 5: Solve for x
    x = 121,330,131,462.56/233,178.75
  6. Step 6: Final answer
    x = 520,331.00

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.