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Finding the Third Proportional to 181,708 and 270,786.25

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Solution

The third proportional to 181,708 and 270,786.25 is: 403,533.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,708 : 270,786.25 = 270,786.25 : x
  2. Step 2: Convert to fraction form
    181,708/270,786.25 = 270,786.25/x
  3. Step 3: Cross multiply
    181,708x = 270,786.25 × 270,786.25
  4. Step 4: Simplify right side
    181,708x = 73,325,193,189.06
  5. Step 5: Solve for x
    x = 73,325,193,189.06/181,708
  6. Step 6: Final answer
    x = 403,533.10

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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.