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Finding the Third Proportional to 233,313.75 and 349,890.75

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Solution

The third proportional to 233,313.75 and 349,890.75 is: 524,716.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,313.75 : 349,890.75 = 349,890.75 : x
  2. Step 2: Convert to fraction form
    233,313.75/349,890.75 = 349,890.75/x
  3. Step 3: Cross multiply
    233,313.75x = 349,890.75 × 349,890.75
  4. Step 4: Simplify right side
    233,313.75x = 122,423,536,935.56
  5. Step 5: Solve for x
    x = 122,423,536,935.56/233,313.75
  6. Step 6: Final answer
    x = 524,716.34

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.