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Finding the Third Proportional to 170,837.44 and 261,430.03

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Solution

The third proportional to 170,837.44 and 261,430.03 is: 400,062.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,837.44 : 261,430.03 = 261,430.03 : x
  2. Step 2: Convert to fraction form
    170,837.44/261,430.03 = 261,430.03/x
  3. Step 3: Cross multiply
    170,837.44x = 261,430.03 × 261,430.03
  4. Step 4: Simplify right side
    170,837.44x = 68,345,661,239.38
  5. Step 5: Solve for x
    x = 68,345,661,239.38/170,837.44
  6. Step 6: Final answer
    x = 400,062.55

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.