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Finding the Third Proportional to 228,943.13 and 350,218.69

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Solution

The third proportional to 228,943.13 and 350,218.69 is: 535,736.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,943.13 : 350,218.69 = 350,218.69 : x
  2. Step 2: Convert to fraction form
    228,943.13/350,218.69 = 350,218.69/x
  3. Step 3: Cross multiply
    228,943.13x = 350,218.69 × 350,218.69
  4. Step 4: Simplify right side
    228,943.13x = 122,653,129,074.22
  5. Step 5: Solve for x
    x = 122,653,129,074.22/228,943.13
  6. Step 6: Final answer
    x = 535,736.24

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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.