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Finding the Third Proportional to 212,322 and 325,856

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Solution

The third proportional to 212,322 and 325,856 is: 500,099.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,322 : 325,856 = 325,856 : x
  2. Step 2: Convert to fraction form
    212,322/325,856 = 325,856/x
  3. Step 3: Cross multiply
    212,322x = 325,856 × 325,856
  4. Step 4: Simplify right side
    212,322x = 106,182,132,736
  5. Step 5: Solve for x
    x = 106,182,132,736/212,322
  6. Step 6: Final answer
    x = 500,099.53

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.