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Finding the Third Proportional to 230,627.25 and 350,608.50

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Solution

The third proportional to 230,627.25 and 350,608.50 is: 533,008.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,627.25 : 350,608.50 = 350,608.50 : x
  2. Step 2: Convert to fraction form
    230,627.25/350,608.50 = 350,608.50/x
  3. Step 3: Cross multiply
    230,627.25x = 350,608.50 × 350,608.50
  4. Step 4: Simplify right side
    230,627.25x = 122,926,320,272.25
  5. Step 5: Solve for x
    x = 122,926,320,272.25/230,627.25
  6. Step 6: Final answer
    x = 533,008.65

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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.