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Finding the Third Proportional to 237,719.25 and 323,773.88

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Solution

The third proportional to 237,719.25 and 323,773.88 is: 440,980.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    237,719.25 : 323,773.88 = 323,773.88 : x
  2. Step 2: Convert to fraction form
    237,719.25/323,773.88 = 323,773.88/x
  3. Step 3: Cross multiply
    237,719.25x = 323,773.88 × 323,773.88
  4. Step 4: Simplify right side
    237,719.25x = 104,829,522,132.52
  5. Step 5: Solve for x
    x = 104,829,522,132.52/237,719.25
  6. Step 6: Final answer
    x = 440,980.37

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.