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Finding the Third Proportional to 233,165.25 and 349,744.50

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Solution

The third proportional to 233,165.25 and 349,744.50 is: 524,611.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,165.25 : 349,744.50 = 349,744.50 : x
  2. Step 2: Convert to fraction form
    233,165.25/349,744.50 = 349,744.50/x
  3. Step 3: Cross multiply
    233,165.25x = 349,744.50 × 349,744.50
  4. Step 4: Simplify right side
    233,165.25x = 122,321,215,280.25
  5. Step 5: Solve for x
    x = 122,321,215,280.25/233,165.25
  6. Step 6: Final answer
    x = 524,611.69

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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.