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Finding the Third Proportional to 233,295.75 and 349,863.75

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Solution

The third proportional to 233,295.75 and 349,863.75 is: 524,675.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,295.75 : 349,863.75 = 349,863.75 : x
  2. Step 2: Convert to fraction form
    233,295.75/349,863.75 = 349,863.75/x
  3. Step 3: Cross multiply
    233,295.75x = 349,863.75 × 349,863.75
  4. Step 4: Simplify right side
    233,295.75x = 122,404,643,564.06
  5. Step 5: Solve for x
    x = 122,404,643,564.06/233,295.75
  6. Step 6: Final answer
    x = 524,675.84

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