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Finding the Third Proportional to 171,242 and 245,846

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Solution

The third proportional to 171,242 and 245,846 is: 352,952.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,242 : 245,846 = 245,846 : x
  2. Step 2: Convert to fraction form
    171,242/245,846 = 245,846/x
  3. Step 3: Cross multiply
    171,242x = 245,846 × 245,846
  4. Step 4: Simplify right side
    171,242x = 60,440,255,716
  5. Step 5: Solve for x
    x = 60,440,255,716/171,242
  6. Step 6: Final answer
    x = 352,952.29

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.