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Finding the Third Proportional to 113,640.75 and 239,026.50

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Solution

The third proportional to 113,640.75 and 239,026.50 is: 502,756.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,640.75 : 239,026.50 = 239,026.50 : x
  2. Step 2: Convert to fraction form
    113,640.75/239,026.50 = 239,026.50/x
  3. Step 3: Cross multiply
    113,640.75x = 239,026.50 × 239,026.50
  4. Step 4: Simplify right side
    113,640.75x = 57,133,667,702.25
  5. Step 5: Solve for x
    x = 57,133,667,702.25/113,640.75
  6. Step 6: Final answer
    x = 502,756.87

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.