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Finding the Third Proportional to 229,003.88 and 350,309.81

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Solution

The third proportional to 229,003.88 and 350,309.81 is: 535,872.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,003.88 : 350,309.81 = 350,309.81 : x
  2. Step 2: Convert to fraction form
    229,003.88/350,309.81 = 350,309.81/x
  3. Step 3: Cross multiply
    229,003.88x = 350,309.81 × 350,309.81
  4. Step 4: Simplify right side
    229,003.88x = 122,716,964,733.79
  5. Step 5: Solve for x
    x = 122,716,964,733.79/229,003.88
  6. Step 6: Final answer
    x = 535,872.87

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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.