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Finding the Third Proportional to 174,997.13 and 279,111.38

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Solution

The third proportional to 174,997.13 and 279,111.38 is: 445,168.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,997.13 : 279,111.38 = 279,111.38 : x
  2. Step 2: Convert to fraction form
    174,997.13/279,111.38 = 279,111.38/x
  3. Step 3: Cross multiply
    174,997.13x = 279,111.38 × 279,111.38
  4. Step 4: Simplify right side
    174,997.13x = 77,903,159,654.39
  5. Step 5: Solve for x
    x = 77,903,159,654.39/174,997.13
  6. Step 6: Final answer
    x = 445,168.23

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.