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Finding the Third Proportional to 161,240 and 335,714

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Solution

The third proportional to 161,240 and 335,714 is: 698,982.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,240 : 335,714 = 335,714 : x
  2. Step 2: Convert to fraction form
    161,240/335,714 = 335,714/x
  3. Step 3: Cross multiply
    161,240x = 335,714 × 335,714
  4. Step 4: Simplify right side
    161,240x = 112,703,889,796
  5. Step 5: Solve for x
    x = 112,703,889,796/161,240
  6. Step 6: Final answer
    x = 698,982.20

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.