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Finding the Third Proportional to 255,651 and 400,164

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Solution

The third proportional to 255,651 and 400,164 is: 626,366.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,651 : 400,164 = 400,164 : x
  2. Step 2: Convert to fraction form
    255,651/400,164 = 400,164/x
  3. Step 3: Cross multiply
    255,651x = 400,164 × 400,164
  4. Step 4: Simplify right side
    255,651x = 160,131,226,896
  5. Step 5: Solve for x
    x = 160,131,226,896/255,651
  6. Step 6: Final answer
    x = 626,366.52

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.