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Finding the Third Proportional to 169,535.25 and 256,485.38

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Solution

The third proportional to 169,535.25 and 256,485.38 is: 388,029.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,535.25 : 256,485.38 = 256,485.38 : x
  2. Step 2: Convert to fraction form
    169,535.25/256,485.38 = 256,485.38/x
  3. Step 3: Cross multiply
    169,535.25x = 256,485.38 × 256,485.38
  4. Step 4: Simplify right side
    169,535.25x = 65,784,747,588.89
  5. Step 5: Solve for x
    x = 65,784,747,588.89/169,535.25
  6. Step 6: Final answer
    x = 388,029.91

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.