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Finding the Third Proportional to 164,469.23 and 341,866.83

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Solution

The third proportional to 164,469.23 and 341,866.83 is: 710,606.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,469.23 : 341,866.83 = 341,866.83 : x
  2. Step 2: Convert to fraction form
    164,469.23/341,866.83 = 341,866.83/x
  3. Step 3: Cross multiply
    164,469.23x = 341,866.83 × 341,866.83
  4. Step 4: Simplify right side
    164,469.23x = 116,872,928,172.25
  5. Step 5: Solve for x
    x = 116,872,928,172.25/164,469.23
  6. Step 6: Final answer
    x = 710,606.63

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These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.