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Finding the Third Proportional to 113,784.75 and 178,472.25

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Solution

The third proportional to 113,784.75 and 178,472.25 is: 279,935.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,784.75 : 178,472.25 = 178,472.25 : x
  2. Step 2: Convert to fraction form
    113,784.75/178,472.25 = 178,472.25/x
  3. Step 3: Cross multiply
    113,784.75x = 178,472.25 × 178,472.25
  4. Step 4: Simplify right side
    113,784.75x = 31,852,344,020.06
  5. Step 5: Solve for x
    x = 31,852,344,020.06/113,784.75
  6. Step 6: Final answer
    x = 279,935.09

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.