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Finding the Third Proportional to 161,704 and 340,163

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Solution

The third proportional to 161,704 and 340,163 is: 715,572.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,704 : 340,163 = 340,163 : x
  2. Step 2: Convert to fraction form
    161,704/340,163 = 340,163/x
  3. Step 3: Cross multiply
    161,704x = 340,163 × 340,163
  4. Step 4: Simplify right side
    161,704x = 115,710,866,569
  5. Step 5: Solve for x
    x = 115,710,866,569/161,704
  6. Step 6: Final answer
    x = 715,572.07

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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.