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Finding the Third Proportional to 113,177.25 and 239,846.06

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Solution

The third proportional to 113,177.25 and 239,846.06 is: 508,283.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,177.25 : 239,846.06 = 239,846.06 : x
  2. Step 2: Convert to fraction form
    113,177.25/239,846.06 = 239,846.06/x
  3. Step 3: Cross multiply
    113,177.25x = 239,846.06 × 239,846.06
  4. Step 4: Simplify right side
    113,177.25x = 57,526,133,696.75
  5. Step 5: Solve for x
    x = 57,526,133,696.75/113,177.25
  6. Step 6: Final answer
    x = 508,283.54

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.