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Finding the Third Proportional to 233,249 and 349,809

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Solution

The third proportional to 233,249 and 349,809 is: 524,616.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,249 : 349,809 = 349,809 : x
  2. Step 2: Convert to fraction form
    233,249/349,809 = 349,809/x
  3. Step 3: Cross multiply
    233,249x = 349,809 × 349,809
  4. Step 4: Simplify right side
    233,249x = 122,366,336,481
  5. Step 5: Solve for x
    x = 122,366,336,481/233,249
  6. Step 6: Final answer
    x = 524,616.77

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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.