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Finding the Third Proportional to 172,097.31 and 372,796.94

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Solution

The third proportional to 172,097.31 and 372,796.94 is: 807,552.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,097.31 : 372,796.94 = 372,796.94 : x
  2. Step 2: Convert to fraction form
    172,097.31/372,796.94 = 372,796.94/x
  3. Step 3: Cross multiply
    172,097.31x = 372,796.94 × 372,796.94
  4. Step 4: Simplify right side
    172,097.31x = 138,977,556,609.38
  5. Step 5: Solve for x
    x = 138,977,556,609.38/172,097.31
  6. Step 6: Final answer
    x = 807,552.16

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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.