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Finding the Third Proportional to 170,841 and 256,180.50

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Solution

The third proportional to 170,841 and 256,180.50 is: 384,149.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,841 : 256,180.50 = 256,180.50 : x
  2. Step 2: Convert to fraction form
    170,841/256,180.50 = 256,180.50/x
  3. Step 3: Cross multiply
    170,841x = 256,180.50 × 256,180.50
  4. Step 4: Simplify right side
    170,841x = 65,628,448,580.25
  5. Step 5: Solve for x
    x = 65,628,448,580.25/170,841
  6. Step 6: Final answer
    x = 384,149.29

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.