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Finding the Third Proportional to 240,252.75 and 347,986.13

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Solution

The third proportional to 240,252.75 and 347,986.13 is: 504,028.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    240,252.75 : 347,986.13 = 347,986.13 : x
  2. Step 2: Convert to fraction form
    240,252.75/347,986.13 = 347,986.13/x
  3. Step 3: Cross multiply
    240,252.75x = 347,986.13 × 347,986.13
  4. Step 4: Simplify right side
    240,252.75x = 121,094,343,192.52
  5. Step 5: Solve for x
    x = 121,094,343,192.52/240,252.75
  6. Step 6: Final answer
    x = 504,028.96

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.