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Finding the Third Proportional to 162,954 and 340,788

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Solution

The third proportional to 162,954 and 340,788 is: 712,694.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,954 : 340,788 = 340,788 : x
  2. Step 2: Convert to fraction form
    162,954/340,788 = 340,788/x
  3. Step 3: Cross multiply
    162,954x = 340,788 × 340,788
  4. Step 4: Simplify right side
    162,954x = 116,136,460,944
  5. Step 5: Solve for x
    x = 116,136,460,944/162,954
  6. Step 6: Final answer
    x = 712,694.75

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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.