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Finding the Third Proportional to 170,714 and 245,902

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Solution

The third proportional to 170,714 and 245,902 is: 354,205.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,714 : 245,902 = 245,902 : x
  2. Step 2: Convert to fraction form
    170,714/245,902 = 245,902/x
  3. Step 3: Cross multiply
    170,714x = 245,902 × 245,902
  4. Step 4: Simplify right side
    170,714x = 60,467,793,604
  5. Step 5: Solve for x
    x = 60,467,793,604/170,714
  6. Step 6: Final answer
    x = 354,205.24

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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.