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Finding the Third Proportional to 106,997.34 and 253,036.97

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Solution

The third proportional to 106,997.34 and 253,036.97 is: 598,404.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,997.34 : 253,036.97 = 253,036.97 : x
  2. Step 2: Convert to fraction form
    106,997.34/253,036.97 = 253,036.97/x
  3. Step 3: Cross multiply
    106,997.34x = 253,036.97 × 253,036.97
  4. Step 4: Simplify right side
    106,997.34x = 64,027,707,554.19
  5. Step 5: Solve for x
    x = 64,027,707,554.19/106,997.34
  6. Step 6: Final answer
    x = 598,404.65

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.