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Finding the Third Proportional to 138,413 and 226,017

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Solution

The third proportional to 138,413 and 226,017 is: 369,067.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,413 : 226,017 = 226,017 : x
  2. Step 2: Convert to fraction form
    138,413/226,017 = 226,017/x
  3. Step 3: Cross multiply
    138,413x = 226,017 × 226,017
  4. Step 4: Simplify right side
    138,413x = 51,083,684,289
  5. Step 5: Solve for x
    x = 51,083,684,289/138,413
  6. Step 6: Final answer
    x = 369,067.10

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Why These Related Problems?

These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.