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Finding the Third Proportional to 257,169.94 and 557,244.56

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Solution

The third proportional to 257,169.94 and 557,244.56 is: 1,207,456.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,169.94 : 557,244.56 = 557,244.56 : x
  2. Step 2: Convert to fraction form
    257,169.94/557,244.56 = 557,244.56/x
  3. Step 3: Cross multiply
    257,169.94x = 557,244.56 × 557,244.56
  4. Step 4: Simplify right side
    257,169.94x = 310,521,502,435.82
  5. Step 5: Solve for x
    x = 310,521,502,435.82/257,169.94
  6. Step 6: Final answer
    x = 1,207,456.46

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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.