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Finding the Third Proportional to 174,964.50 and 262,387.13

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Solution

The third proportional to 174,964.50 and 262,387.13 is: 393,491.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,964.50 : 262,387.13 = 262,387.13 : x
  2. Step 2: Convert to fraction form
    174,964.50/262,387.13 = 262,387.13/x
  3. Step 3: Cross multiply
    174,964.50x = 262,387.13 × 262,387.13
  4. Step 4: Simplify right side
    174,964.50x = 68,847,003,365.77
  5. Step 5: Solve for x
    x = 68,847,003,365.77/174,964.50
  6. Step 6: Final answer
    x = 393,491.27

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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.