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Finding the Third Proportional to 95,238 and 207,408

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Solution

The third proportional to 95,238 and 207,408 is: 451,690.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,238 : 207,408 = 207,408 : x
  2. Step 2: Convert to fraction form
    95,238/207,408 = 207,408/x
  3. Step 3: Cross multiply
    95,238x = 207,408 × 207,408
  4. Step 4: Simplify right side
    95,238x = 43,018,078,464
  5. Step 5: Solve for x
    x = 43,018,078,464/95,238
  6. Step 6: Final answer
    x = 451,690.28

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.