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Finding the Third Proportional to 237,874.50 and 326,193.75

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Solution

The third proportional to 237,874.50 and 326,193.75 is: 447,304.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    237,874.50 : 326,193.75 = 326,193.75 : x
  2. Step 2: Convert to fraction form
    237,874.50/326,193.75 = 326,193.75/x
  3. Step 3: Cross multiply
    237,874.50x = 326,193.75 × 326,193.75
  4. Step 4: Simplify right side
    237,874.50x = 106,402,362,539.06
  5. Step 5: Solve for x
    x = 106,402,362,539.06/237,874.50
  6. Step 6: Final answer
    x = 447,304.62

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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.