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Finding the Third Proportional to 237,788 and 326,064

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Solution

The third proportional to 237,788 and 326,064 is: 447,111.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    237,788 : 326,064 = 326,064 : x
  2. Step 2: Convert to fraction form
    237,788/326,064 = 326,064/x
  3. Step 3: Cross multiply
    237,788x = 326,064 × 326,064
  4. Step 4: Simplify right side
    237,788x = 106,317,732,096
  5. Step 5: Solve for x
    x = 106,317,732,096/237,788
  6. Step 6: Final answer
    x = 447,111.43

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