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Finding the Third Proportional to 172,166.63 and 371,997.56

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Solution

The third proportional to 172,166.63 and 371,997.56 is: 803,768.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,166.63 : 371,997.56 = 371,997.56 : x
  2. Step 2: Convert to fraction form
    172,166.63/371,997.56 = 371,997.56/x
  3. Step 3: Cross multiply
    172,166.63x = 371,997.56 × 371,997.56
  4. Step 4: Simplify right side
    172,166.63x = 138,382,186,505.94
  5. Step 5: Solve for x
    x = 138,382,186,505.94/172,166.63
  6. Step 6: Final answer
    x = 803,768.94

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.