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Finding the Third Proportional to 159,372 and 347,719.50

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Solution

The third proportional to 159,372 and 347,719.50 is: 758,658.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,372 : 347,719.50 = 347,719.50 : x
  2. Step 2: Convert to fraction form
    159,372/347,719.50 = 347,719.50/x
  3. Step 3: Cross multiply
    159,372x = 347,719.50 × 347,719.50
  4. Step 4: Simplify right side
    159,372x = 120,908,850,680.25
  5. Step 5: Solve for x
    x = 120,908,850,680.25/159,372
  6. Step 6: Final answer
    x = 758,658.05

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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.