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Finding the Third Proportional to 156,789 and 344,791.50

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Solution

The third proportional to 156,789 and 344,791.50 is: 758,223.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,789 : 344,791.50 = 344,791.50 : x
  2. Step 2: Convert to fraction form
    156,789/344,791.50 = 344,791.50/x
  3. Step 3: Cross multiply
    156,789x = 344,791.50 × 344,791.50
  4. Step 4: Simplify right side
    156,789x = 118,881,178,472.25
  5. Step 5: Solve for x
    x = 118,881,178,472.25/156,789
  6. Step 6: Final answer
    x = 758,223.97

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.