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Finding the Third Proportional to 230,762.25 and 349,224.75

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Solution

The third proportional to 230,762.25 and 349,224.75 is: 528,500.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,762.25 : 349,224.75 = 349,224.75 : x
  2. Step 2: Convert to fraction form
    230,762.25/349,224.75 = 349,224.75/x
  3. Step 3: Cross multiply
    230,762.25x = 349,224.75 × 349,224.75
  4. Step 4: Simplify right side
    230,762.25x = 121,957,926,012.56
  5. Step 5: Solve for x
    x = 121,957,926,012.56/230,762.25
  6. Step 6: Final answer
    x = 528,500.33

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.