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Finding the Third Proportional to 230,170 and 350,062

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Solution

The third proportional to 230,170 and 350,062 is: 532,403.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,170 : 350,062 = 350,062 : x
  2. Step 2: Convert to fraction form
    230,170/350,062 = 350,062/x
  3. Step 3: Cross multiply
    230,170x = 350,062 × 350,062
  4. Step 4: Simplify right side
    230,170x = 122,543,403,844
  5. Step 5: Solve for x
    x = 122,543,403,844/230,170
  6. Step 6: Final answer
    x = 532,403.89

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.