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Finding the Third Proportional to 168,852.25 and 256,759.75

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Solution

The third proportional to 168,852.25 and 256,759.75 is: 390,433.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    168,852.25 : 256,759.75 = 256,759.75 : x
  2. Step 2: Convert to fraction form
    168,852.25/256,759.75 = 256,759.75/x
  3. Step 3: Cross multiply
    168,852.25x = 256,759.75 × 256,759.75
  4. Step 4: Simplify right side
    168,852.25x = 65,925,569,220.06
  5. Step 5: Solve for x
    x = 65,925,569,220.06/168,852.25
  6. Step 6: Final answer
    x = 390,433.47

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.