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Finding the Third Proportional to 170,996.06 and 256,585.22

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Solution

The third proportional to 170,996.06 and 256,585.22 is: 385,014.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,996.06 : 256,585.22 = 256,585.22 : x
  2. Step 2: Convert to fraction form
    170,996.06/256,585.22 = 256,585.22/x
  3. Step 3: Cross multiply
    170,996.06x = 256,585.22 × 256,585.22
  4. Step 4: Simplify right side
    170,996.06x = 65,835,974,480.99
  5. Step 5: Solve for x
    x = 65,835,974,480.99/170,996.06
  6. Step 6: Final answer
    x = 385,014.56

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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.