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Finding the Third Proportional to 174,857.06 and 270,820.13

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Solution

The third proportional to 174,857.06 and 270,820.13 is: 419,448.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,857.06 : 270,820.13 = 270,820.13 : x
  2. Step 2: Convert to fraction form
    174,857.06/270,820.13 = 270,820.13/x
  3. Step 3: Cross multiply
    174,857.06x = 270,820.13 × 270,820.13
  4. Step 4: Simplify right side
    174,857.06x = 73,343,540,105.02
  5. Step 5: Solve for x
    x = 73,343,540,105.02/174,857.06
  6. Step 6: Final answer
    x = 419,448.54

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.