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Finding the Third Proportional to 164,708 and 343,714

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Solution

The third proportional to 164,708 and 343,714 is: 717,265.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,708 : 343,714 = 343,714 : x
  2. Step 2: Convert to fraction form
    164,708/343,714 = 343,714/x
  3. Step 3: Cross multiply
    164,708x = 343,714 × 343,714
  4. Step 4: Simplify right side
    164,708x = 118,139,313,796
  5. Step 5: Solve for x
    x = 118,139,313,796/164,708
  6. Step 6: Final answer
    x = 717,265.18

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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.