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Finding the Third Proportional to 170,996.06 and 255,537.28

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Solution

The third proportional to 170,996.06 and 255,537.28 is: 381,876.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,996.06 : 255,537.28 = 255,537.28 : x
  2. Step 2: Convert to fraction form
    170,996.06/255,537.28 = 255,537.28/x
  3. Step 3: Cross multiply
    170,996.06x = 255,537.28 × 255,537.28
  4. Step 4: Simplify right side
    170,996.06x = 65,299,302,108.64
  5. Step 5: Solve for x
    x = 65,299,302,108.64/170,996.06
  6. Step 6: Final answer
    x = 381,876.06

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.