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Finding the Third Proportional to 162,992 and 340,888

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Solution

The third proportional to 162,992 and 340,888 is: 712,946.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,992 : 340,888 = 340,888 : x
  2. Step 2: Convert to fraction form
    162,992/340,888 = 340,888/x
  3. Step 3: Cross multiply
    162,992x = 340,888 × 340,888
  4. Step 4: Simplify right side
    162,992x = 116,204,628,544
  5. Step 5: Solve for x
    x = 116,204,628,544/162,992
  6. Step 6: Final answer
    x = 712,946.82

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.