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Finding the Third Proportional to 102,310 and 241,171

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Solution

The third proportional to 102,310 and 241,171 is: 568,502.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,310 : 241,171 = 241,171 : x
  2. Step 2: Convert to fraction form
    102,310/241,171 = 241,171/x
  3. Step 3: Cross multiply
    102,310x = 241,171 × 241,171
  4. Step 4: Simplify right side
    102,310x = 58,163,451,241
  5. Step 5: Solve for x
    x = 58,163,451,241/102,310
  6. Step 6: Final answer
    x = 568,502.11

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.