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Finding the Third Proportional to 174,939.75 and 262,350.56

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Solution

The third proportional to 174,939.75 and 262,350.56 is: 393,437.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,939.75 : 262,350.56 = 262,350.56 : x
  2. Step 2: Convert to fraction form
    174,939.75/262,350.56 = 262,350.56/x
  3. Step 3: Cross multiply
    174,939.75x = 262,350.56 × 262,350.56
  4. Step 4: Simplify right side
    174,939.75x = 68,827,817,644.07
  5. Step 5: Solve for x
    x = 68,827,817,644.07/174,939.75
  6. Step 6: Final answer
    x = 393,437.27

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.