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Finding the Third Proportional to 237,946 and 326,269

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Solution

The third proportional to 237,946 and 326,269 is: 447,376.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    237,946 : 326,269 = 326,269 : x
  2. Step 2: Convert to fraction form
    237,946/326,269 = 326,269/x
  3. Step 3: Cross multiply
    237,946x = 326,269 × 326,269
  4. Step 4: Simplify right side
    237,946x = 106,451,460,361
  5. Step 5: Solve for x
    x = 106,451,460,361/237,946
  6. Step 6: Final answer
    x = 447,376.55

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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.