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Finding the Third Proportional to 164,751 and 359,714

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Solution

The third proportional to 164,751 and 359,714 is: 785,392.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,751 : 359,714 = 359,714 : x
  2. Step 2: Convert to fraction form
    164,751/359,714 = 359,714/x
  3. Step 3: Cross multiply
    164,751x = 359,714 × 359,714
  4. Step 4: Simplify right side
    164,751x = 129,394,161,796
  5. Step 5: Solve for x
    x = 129,394,161,796/164,751
  6. Step 6: Final answer
    x = 785,392.27

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.