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Finding the Third Proportional to 233,479.13 and 350,221.22

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Solution

The third proportional to 233,479.13 and 350,221.22 is: 525,335.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,479.13 : 350,221.22 = 350,221.22 : x
  2. Step 2: Convert to fraction form
    233,479.13/350,221.22 = 350,221.22/x
  3. Step 3: Cross multiply
    233,479.13x = 350,221.22 × 350,221.22
  4. Step 4: Simplify right side
    233,479.13x = 122,654,902,062.74
  5. Step 5: Solve for x
    x = 122,654,902,062.74/233,479.13
  6. Step 6: Final answer
    x = 525,335.63

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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.