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Finding the Third Proportional to 159,327 and 347,638.50

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Solution

The third proportional to 159,327 and 347,638.50 is: 758,518.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,327 : 347,638.50 = 347,638.50 : x
  2. Step 2: Convert to fraction form
    159,327/347,638.50 = 347,638.50/x
  3. Step 3: Cross multiply
    159,327x = 347,638.50 × 347,638.50
  4. Step 4: Simplify right side
    159,327x = 120,852,526,682.25
  5. Step 5: Solve for x
    x = 120,852,526,682.25/159,327
  6. Step 6: Final answer
    x = 758,518.81

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.