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Finding the Third Proportional to 248,841 and 375,057

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Solution

The third proportional to 248,841 and 375,057 is: 565,291.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    248,841 : 375,057 = 375,057 : x
  2. Step 2: Convert to fraction form
    248,841/375,057 = 375,057/x
  3. Step 3: Cross multiply
    248,841x = 375,057 × 375,057
  4. Step 4: Simplify right side
    248,841x = 140,667,753,249
  5. Step 5: Solve for x
    x = 140,667,753,249/248,841
  6. Step 6: Final answer
    x = 565,291.71

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.