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Finding the Third Proportional to 174,934.69 and 262,539.56

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Solution

The third proportional to 174,934.69 and 262,539.56 is: 394,015.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,934.69 : 262,539.56 = 262,539.56 : x
  2. Step 2: Convert to fraction form
    174,934.69/262,539.56 = 262,539.56/x
  3. Step 3: Cross multiply
    174,934.69x = 262,539.56 × 262,539.56
  4. Step 4: Simplify right side
    174,934.69x = 68,927,021,877.69
  5. Step 5: Solve for x
    x = 68,927,021,877.69/174,934.69
  6. Step 6: Final answer
    x = 394,015.75

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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.