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Finding the Third Proportional to 168,364.50 and 258,772.50

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Solution

The third proportional to 168,364.50 and 258,772.50 is: 397,727.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    168,364.50 : 258,772.50 = 258,772.50 : x
  2. Step 2: Convert to fraction form
    168,364.50/258,772.50 = 258,772.50/x
  3. Step 3: Cross multiply
    168,364.50x = 258,772.50 × 258,772.50
  4. Step 4: Simplify right side
    168,364.50x = 66,963,206,756.25
  5. Step 5: Solve for x
    x = 66,963,206,756.25/168,364.50
  6. Step 6: Final answer
    x = 397,727.59

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.