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Finding the Third Proportional to 174,885.75 and 262,323.56

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Solution

The third proportional to 174,885.75 and 262,323.56 is: 393,477.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,885.75 : 262,323.56 = 262,323.56 : x
  2. Step 2: Convert to fraction form
    174,885.75/262,323.56 = 262,323.56/x
  3. Step 3: Cross multiply
    174,885.75x = 262,323.56 × 262,323.56
  4. Step 4: Simplify right side
    174,885.75x = 68,813,651,442.69
  5. Step 5: Solve for x
    x = 68,813,651,442.69/174,885.75
  6. Step 6: Final answer
    x = 393,477.75

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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.