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Finding the Third Proportional to 223,236 and 340,200

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Solution

The third proportional to 223,236 and 340,200 is: 518,447.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,236 : 340,200 = 340,200 : x
  2. Step 2: Convert to fraction form
    223,236/340,200 = 340,200/x
  3. Step 3: Cross multiply
    223,236x = 340,200 × 340,200
  4. Step 4: Simplify right side
    223,236x = 115,736,040,000
  5. Step 5: Solve for x
    x = 115,736,040,000/223,236
  6. Step 6: Final answer
    x = 518,447.02

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.