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Finding the Third Proportional to 122,971.50 and 290,175.75

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Solution

The third proportional to 122,971.50 and 290,175.75 is: 684,727.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,971.50 : 290,175.75 = 290,175.75 : x
  2. Step 2: Convert to fraction form
    122,971.50/290,175.75 = 290,175.75/x
  3. Step 3: Cross multiply
    122,971.50x = 290,175.75 × 290,175.75
  4. Step 4: Simplify right side
    122,971.50x = 84,201,965,888.06
  5. Step 5: Solve for x
    x = 84,201,965,888.06/122,971.50
  6. Step 6: Final answer
    x = 684,727.48

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These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.