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Finding the Third Proportional to 237,836.25 and 326,136.38

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Solution

The third proportional to 237,836.25 and 326,136.38 is: 447,219.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    237,836.25 : 326,136.38 = 326,136.38 : x
  2. Step 2: Convert to fraction form
    237,836.25/326,136.38 = 326,136.38/x
  3. Step 3: Cross multiply
    237,836.25x = 326,136.38 × 326,136.38
  4. Step 4: Simplify right side
    237,836.25x = 106,364,935,098.14
  5. Step 5: Solve for x
    x = 106,364,935,098.14/237,836.25
  6. Step 6: Final answer
    x = 447,219.19

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.