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Finding the Third Proportional to 172,114 and 372,822

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Solution

The third proportional to 172,114 and 372,822 is: 807,582.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,114 : 372,822 = 372,822 : x
  2. Step 2: Convert to fraction form
    172,114/372,822 = 372,822/x
  3. Step 3: Cross multiply
    172,114x = 372,822 × 372,822
  4. Step 4: Simplify right side
    172,114x = 138,996,243,684
  5. Step 5: Solve for x
    x = 138,996,243,684/172,114
  6. Step 6: Final answer
    x = 807,582.44

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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.