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Finding the Third Proportional to 237,849 and 326,155

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Solution

The third proportional to 237,849 and 326,155 is: 447,246.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    237,849 : 326,155 = 326,155 : x
  2. Step 2: Convert to fraction form
    237,849/326,155 = 326,155/x
  3. Step 3: Cross multiply
    237,849x = 326,155 × 326,155
  4. Step 4: Simplify right side
    237,849x = 106,377,084,025
  5. Step 5: Solve for x
    x = 106,377,084,025/237,849
  6. Step 6: Final answer
    x = 447,246.30

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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.