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Finding the Third Proportional to 255,772.69 and 397,153.13

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Solution

The third proportional to 255,772.69 and 397,153.13 is: 616,682.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,772.69 : 397,153.13 = 397,153.13 : x
  2. Step 2: Convert to fraction form
    255,772.69/397,153.13 = 397,153.13/x
  3. Step 3: Cross multiply
    255,772.69x = 397,153.13 × 397,153.13
  4. Step 4: Simplify right side
    255,772.69x = 157,730,604,697.27
  5. Step 5: Solve for x
    x = 157,730,604,697.27/255,772.69
  6. Step 6: Final answer
    x = 616,682.75

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.