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Finding the Third Proportional to 113,595.75 and 239,175

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Solution

The third proportional to 113,595.75 and 239,175 is: 503,581.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,595.75 : 239,175 = 239,175 : x
  2. Step 2: Convert to fraction form
    113,595.75/239,175 = 239,175/x
  3. Step 3: Cross multiply
    113,595.75x = 239,175 × 239,175
  4. Step 4: Simplify right side
    113,595.75x = 57,204,680,625
  5. Step 5: Solve for x
    x = 57,204,680,625/113,595.75
  6. Step 6: Final answer
    x = 503,581.17

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.