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Finding the Third Proportional to 233,313.75 and 328,783.50

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Solution

The third proportional to 233,313.75 and 328,783.50 is: 463,318.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,313.75 : 328,783.50 = 328,783.50 : x
  2. Step 2: Convert to fraction form
    233,313.75/328,783.50 = 328,783.50/x
  3. Step 3: Cross multiply
    233,313.75x = 328,783.50 × 328,783.50
  4. Step 4: Simplify right side
    233,313.75x = 108,098,589,872.25
  5. Step 5: Solve for x
    x = 108,098,589,872.25/233,313.75
  6. Step 6: Final answer
    x = 463,318.56

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.