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Finding the Third Proportional to 228,969.75 and 350,272.13

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Solution

The third proportional to 228,969.75 and 350,272.13 is: 535,837.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,969.75 : 350,272.13 = 350,272.13 : x
  2. Step 2: Convert to fraction form
    228,969.75/350,272.13 = 350,272.13/x
  3. Step 3: Cross multiply
    228,969.75x = 350,272.13 × 350,272.13
  4. Step 4: Simplify right side
    228,969.75x = 122,690,561,552.02
  5. Step 5: Solve for x
    x = 122,690,561,552.02/228,969.75
  6. Step 6: Final answer
    x = 535,837.43

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.