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Finding the Third Proportional to 233,230.50 and 349,777.13

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Solution

The third proportional to 233,230.50 and 349,777.13 is: 524,562.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,230.50 : 349,777.13 = 349,777.13 : x
  2. Step 2: Convert to fraction form
    233,230.50/349,777.13 = 349,777.13/x
  3. Step 3: Cross multiply
    233,230.50x = 349,777.13 × 349,777.13
  4. Step 4: Simplify right side
    233,230.50x = 122,344,037,173.27
  5. Step 5: Solve for x
    x = 122,344,037,173.27/233,230.50
  6. Step 6: Final answer
    x = 524,562.77

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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.