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Finding the Third Proportional to 237,912.75 and 347,373

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Solution

The third proportional to 237,912.75 and 347,373 is: 507,194.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    237,912.75 : 347,373 = 347,373 : x
  2. Step 2: Convert to fraction form
    237,912.75/347,373 = 347,373/x
  3. Step 3: Cross multiply
    237,912.75x = 347,373 × 347,373
  4. Step 4: Simplify right side
    237,912.75x = 120,668,001,129
  5. Step 5: Solve for x
    x = 120,668,001,129/237,912.75
  6. Step 6: Final answer
    x = 507,194.34

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.