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Finding the Third Proportional to 282,197.25 and 437,136.75

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Solution

The third proportional to 282,197.25 and 437,136.75 is: 677,145.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,197.25 : 437,136.75 = 437,136.75 : x
  2. Step 2: Convert to fraction form
    282,197.25/437,136.75 = 437,136.75/x
  3. Step 3: Cross multiply
    282,197.25x = 437,136.75 × 437,136.75
  4. Step 4: Simplify right side
    282,197.25x = 191,088,538,200.56
  5. Step 5: Solve for x
    x = 191,088,538,200.56/282,197.25
  6. Step 6: Final answer
    x = 677,145.29

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.