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Finding the Third Proportional to 231,376.50 and 349,525.13

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Solution

The third proportional to 231,376.50 and 349,525.13 is: 528,004.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,376.50 : 349,525.13 = 349,525.13 : x
  2. Step 2: Convert to fraction form
    231,376.50/349,525.13 = 349,525.13/x
  3. Step 3: Cross multiply
    231,376.50x = 349,525.13 × 349,525.13
  4. Step 4: Simplify right side
    231,376.50x = 122,167,813,006.27
  5. Step 5: Solve for x
    x = 122,167,813,006.27/231,376.50
  6. Step 6: Final answer
    x = 528,004.41

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.