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Finding the Third Proportional to 235,111.50 and 512,181

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Solution

The third proportional to 235,111.50 and 512,181 is: 1,115,765.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,111.50 : 512,181 = 512,181 : x
  2. Step 2: Convert to fraction form
    235,111.50/512,181 = 512,181/x
  3. Step 3: Cross multiply
    235,111.50x = 512,181 × 512,181
  4. Step 4: Simplify right side
    235,111.50x = 262,329,376,761
  5. Step 5: Solve for x
    x = 262,329,376,761/235,111.50
  6. Step 6: Final answer
    x = 1,115,765.82

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.