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Finding the Third Proportional to 156,928.50 and 342,288

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Solution

The third proportional to 156,928.50 and 342,288 is: 746,588.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,928.50 : 342,288 = 342,288 : x
  2. Step 2: Convert to fraction form
    156,928.50/342,288 = 342,288/x
  3. Step 3: Cross multiply
    156,928.50x = 342,288 × 342,288
  4. Step 4: Simplify right side
    156,928.50x = 117,161,074,944
  5. Step 5: Solve for x
    x = 117,161,074,944/156,928.50
  6. Step 6: Final answer
    x = 746,588.89

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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.