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Finding the Third Proportional to 268,717.50 and 406,100.25

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Solution

The third proportional to 268,717.50 and 406,100.25 is: 613,720.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,717.50 : 406,100.25 = 406,100.25 : x
  2. Step 2: Convert to fraction form
    268,717.50/406,100.25 = 406,100.25/x
  3. Step 3: Cross multiply
    268,717.50x = 406,100.25 × 406,100.25
  4. Step 4: Simplify right side
    268,717.50x = 164,917,413,050.06
  5. Step 5: Solve for x
    x = 164,917,413,050.06/268,717.50
  6. Step 6: Final answer
    x = 613,720.41

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.