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Finding the Third Proportional to 162,930 and 340,756

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Solution

The third proportional to 162,930 and 340,756 is: 712,665.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,930 : 340,756 = 340,756 : x
  2. Step 2: Convert to fraction form
    162,930/340,756 = 340,756/x
  3. Step 3: Cross multiply
    162,930x = 340,756 × 340,756
  4. Step 4: Simplify right side
    162,930x = 116,114,651,536
  5. Step 5: Solve for x
    x = 116,114,651,536/162,930
  6. Step 6: Final answer
    x = 712,665.88

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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.