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Finding the Third Proportional to 113,611.50 and 238,974.75

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Solution

The third proportional to 113,611.50 and 238,974.75 is: 502,668.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,611.50 : 238,974.75 = 238,974.75 : x
  2. Step 2: Convert to fraction form
    113,611.50/238,974.75 = 238,974.75/x
  3. Step 3: Cross multiply
    113,611.50x = 238,974.75 × 238,974.75
  4. Step 4: Simplify right side
    113,611.50x = 57,108,931,137.56
  5. Step 5: Solve for x
    x = 57,108,931,137.56/113,611.50
  6. Step 6: Final answer
    x = 502,668.58

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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.