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Finding the Third Proportional to 348,136.88 and 469,716.75

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Solution

The third proportional to 348,136.88 and 469,716.75 is: 633,755.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    348,136.88 : 469,716.75 = 469,716.75 : x
  2. Step 2: Convert to fraction form
    348,136.88/469,716.75 = 469,716.75/x
  3. Step 3: Cross multiply
    348,136.88x = 469,716.75 × 469,716.75
  4. Step 4: Simplify right side
    348,136.88x = 220,633,825,230.56
  5. Step 5: Solve for x
    x = 220,633,825,230.56/348,136.88
  6. Step 6: Final answer
    x = 633,755.98

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.