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Finding the Third Proportional to 161,365 and 350,714

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Solution

The third proportional to 161,365 and 350,714 is: 762,249.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,365 : 350,714 = 350,714 : x
  2. Step 2: Convert to fraction form
    161,365/350,714 = 350,714/x
  3. Step 3: Cross multiply
    161,365x = 350,714 × 350,714
  4. Step 4: Simplify right side
    161,365x = 123,000,309,796
  5. Step 5: Solve for x
    x = 123,000,309,796/161,365
  6. Step 6: Final answer
    x = 762,249.00

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.