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Finding the Third Proportional to 255,772.69 and 400,060.69

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Solution

The third proportional to 255,772.69 and 400,060.69 is: 625,745.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,772.69 : 400,060.69 = 400,060.69 : x
  2. Step 2: Convert to fraction form
    255,772.69/400,060.69 = 400,060.69/x
  3. Step 3: Cross multiply
    255,772.69x = 400,060.69 × 400,060.69
  4. Step 4: Simplify right side
    255,772.69x = 160,048,553,682.97
  5. Step 5: Solve for x
    x = 160,048,553,682.97/255,772.69
  6. Step 6: Final answer
    x = 625,745.29

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.