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Finding the Third Proportional to 232,196 and 510,059

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Solution

The third proportional to 232,196 and 510,059 is: 1,120,433.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,196 : 510,059 = 510,059 : x
  2. Step 2: Convert to fraction form
    232,196/510,059 = 510,059/x
  3. Step 3: Cross multiply
    232,196x = 510,059 × 510,059
  4. Step 4: Simplify right side
    232,196x = 260,160,183,481
  5. Step 5: Solve for x
    x = 260,160,183,481/232,196
  6. Step 6: Final answer
    x = 1,120,433.53

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.