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Finding the Third Proportional to 233,970.75 and 347,514.75

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Solution

The third proportional to 233,970.75 and 347,514.75 is: 516,160.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,970.75 : 347,514.75 = 347,514.75 : x
  2. Step 2: Convert to fraction form
    233,970.75/347,514.75 = 347,514.75/x
  3. Step 3: Cross multiply
    233,970.75x = 347,514.75 × 347,514.75
  4. Step 4: Simplify right side
    233,970.75x = 120,766,501,467.56
  5. Step 5: Solve for x
    x = 120,766,501,467.56/233,970.75
  6. Step 6: Final answer
    x = 516,160.68

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.