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Finding the Third Proportional to 174,714 and 372,306

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Solution

The third proportional to 174,714 and 372,306 is: 793,363.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,714 : 372,306 = 372,306 : x
  2. Step 2: Convert to fraction form
    174,714/372,306 = 372,306/x
  3. Step 3: Cross multiply
    174,714x = 372,306 × 372,306
  4. Step 4: Simplify right side
    174,714x = 138,611,757,636
  5. Step 5: Solve for x
    x = 138,611,757,636/174,714
  6. Step 6: Final answer
    x = 793,363.77

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.