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Finding the Third Proportional to 171,626.50 and 355,187

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Solution

The third proportional to 171,626.50 and 355,187 is: 735,071.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,626.50 : 355,187 = 355,187 : x
  2. Step 2: Convert to fraction form
    171,626.50/355,187 = 355,187/x
  3. Step 3: Cross multiply
    171,626.50x = 355,187 × 355,187
  4. Step 4: Simplify right side
    171,626.50x = 126,157,804,969
  5. Step 5: Solve for x
    x = 126,157,804,969/171,626.50
  6. Step 6: Final answer
    x = 735,071.83

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.