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Finding the Third Proportional to 114,500.25 and 248,697

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Solution

The third proportional to 114,500.25 and 248,697 is: 540,175.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,500.25 : 248,697 = 248,697 : x
  2. Step 2: Convert to fraction form
    114,500.25/248,697 = 248,697/x
  3. Step 3: Cross multiply
    114,500.25x = 248,697 × 248,697
  4. Step 4: Simplify right side
    114,500.25x = 61,850,197,809
  5. Step 5: Solve for x
    x = 61,850,197,809/114,500.25
  6. Step 6: Final answer
    x = 540,175.22

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.