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Finding the Third Proportional to 116,837.50 and 254,177

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Solution

The third proportional to 116,837.50 and 254,177 is: 552,955.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,837.50 : 254,177 = 254,177 : x
  2. Step 2: Convert to fraction form
    116,837.50/254,177 = 254,177/x
  3. Step 3: Cross multiply
    116,837.50x = 254,177 × 254,177
  4. Step 4: Simplify right side
    116,837.50x = 64,605,947,329
  5. Step 5: Solve for x
    x = 64,605,947,329/116,837.50
  6. Step 6: Final answer
    x = 552,955.58

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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.