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Finding the Third Proportional to 116,839.50 and 254,181

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Solution

The third proportional to 116,839.50 and 254,181 is: 552,963.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,839.50 : 254,181 = 254,181 : x
  2. Step 2: Convert to fraction form
    116,839.50/254,181 = 254,181/x
  3. Step 3: Cross multiply
    116,839.50x = 254,181 × 254,181
  4. Step 4: Simplify right side
    116,839.50x = 64,607,980,761
  5. Step 5: Solve for x
    x = 64,607,980,761/116,839.50
  6. Step 6: Final answer
    x = 552,963.52

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.