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Finding the Third Proportional to 227,997 and 350,959

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Solution

The third proportional to 227,997 and 350,959 is: 540,236.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,997 : 350,959 = 350,959 : x
  2. Step 2: Convert to fraction form
    227,997/350,959 = 350,959/x
  3. Step 3: Cross multiply
    227,997x = 350,959 × 350,959
  4. Step 4: Simplify right side
    227,997x = 123,172,219,681
  5. Step 5: Solve for x
    x = 123,172,219,681/227,997
  6. Step 6: Final answer
    x = 540,236.14

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.