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Finding the Third Proportional to 171,714 and 377,685

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Solution

The third proportional to 171,714 and 377,685 is: 830,718.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,714 : 377,685 = 377,685 : x
  2. Step 2: Convert to fraction form
    171,714/377,685 = 377,685/x
  3. Step 3: Cross multiply
    171,714x = 377,685 × 377,685
  4. Step 4: Simplify right side
    171,714x = 142,645,959,225
  5. Step 5: Solve for x
    x = 142,645,959,225/171,714
  6. Step 6: Final answer
    x = 830,718.28

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.