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Finding the Third Proportional to 233,241.75 and 349,786.13

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Solution

The third proportional to 233,241.75 and 349,786.13 is: 524,564.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,241.75 : 349,786.13 = 349,786.13 : x
  2. Step 2: Convert to fraction form
    233,241.75/349,786.13 = 349,786.13/x
  3. Step 3: Cross multiply
    233,241.75x = 349,786.13 × 349,786.13
  4. Step 4: Simplify right side
    233,241.75x = 122,350,333,242.52
  5. Step 5: Solve for x
    x = 122,350,333,242.52/233,241.75
  6. Step 6: Final answer
    x = 524,564.46

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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.