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Finding the Third Proportional to 161,751.75 and 340,234.88

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Solution

The third proportional to 161,751.75 and 340,234.88 is: 715,663.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,751.75 : 340,234.88 = 340,234.88 : x
  2. Step 2: Convert to fraction form
    161,751.75/340,234.88 = 340,234.88/x
  3. Step 3: Cross multiply
    161,751.75x = 340,234.88 × 340,234.88
  4. Step 4: Simplify right side
    161,751.75x = 115,759,770,166.27
  5. Step 5: Solve for x
    x = 115,759,770,166.27/161,751.75
  6. Step 6: Final answer
    x = 715,663.17

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.