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Finding the Third Proportional to 117,643.50 and 254,727

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Solution

The third proportional to 117,643.50 and 254,727 is: 551,546.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,643.50 : 254,727 = 254,727 : x
  2. Step 2: Convert to fraction form
    117,643.50/254,727 = 254,727/x
  3. Step 3: Cross multiply
    117,643.50x = 254,727 × 254,727
  4. Step 4: Simplify right side
    117,643.50x = 64,885,844,529
  5. Step 5: Solve for x
    x = 64,885,844,529/117,643.50
  6. Step 6: Final answer
    x = 551,546.36

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Why These Related Problems?

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