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Finding the Third Proportional to 156,670.45 and 235,353.09

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Solution

The third proportional to 156,670.45 and 235,353.09 is: 353,551.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,670.45 : 235,353.09 = 235,353.09 : x
  2. Step 2: Convert to fraction form
    156,670.45/235,353.09 = 235,353.09/x
  3. Step 3: Cross multiply
    156,670.45x = 235,353.09 × 235,353.09
  4. Step 4: Simplify right side
    156,670.45x = 55,391,078,737.70
  5. Step 5: Solve for x
    x = 55,391,078,737.70/156,670.45
  6. Step 6: Final answer
    x = 353,551.53

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.