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Finding the Third Proportional to 113,171 and 245,811

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Solution

The third proportional to 113,171 and 245,811 is: 533,909.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,171 : 245,811 = 245,811 : x
  2. Step 2: Convert to fraction form
    113,171/245,811 = 245,811/x
  3. Step 3: Cross multiply
    113,171x = 245,811 × 245,811
  4. Step 4: Simplify right side
    113,171x = 60,423,047,721
  5. Step 5: Solve for x
    x = 60,423,047,721/113,171
  6. Step 6: Final answer
    x = 533,909.29

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.