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Finding the Third Proportional to 212,085.75 and 500,230.75

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Solution

The third proportional to 212,085.75 and 500,230.75 is: 1,179,856.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,085.75 : 500,230.75 = 500,230.75 : x
  2. Step 2: Convert to fraction form
    212,085.75/500,230.75 = 500,230.75/x
  3. Step 3: Cross multiply
    212,085.75x = 500,230.75 × 500,230.75
  4. Step 4: Simplify right side
    212,085.75x = 250,230,803,245.56
  5. Step 5: Solve for x
    x = 250,230,803,245.56/212,085.75
  6. Step 6: Final answer
    x = 1,179,856.75

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.