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Finding the Third Proportional to 255,737.25 and 401,208.19

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Solution

The third proportional to 255,737.25 and 401,208.19 is: 629,427.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,737.25 : 401,208.19 = 401,208.19 : x
  2. Step 2: Convert to fraction form
    255,737.25/401,208.19 = 401,208.19/x
  3. Step 3: Cross multiply
    255,737.25x = 401,208.19 × 401,208.19
  4. Step 4: Simplify right side
    255,737.25x = 160,968,009,717.04
  5. Step 5: Solve for x
    x = 160,968,009,717.04/255,737.25
  6. Step 6: Final answer
    x = 629,427.31

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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.