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Finding the Third Proportional to 223,964 and 339,500

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Solution

The third proportional to 223,964 and 339,500 is: 514,637.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,964 : 339,500 = 339,500 : x
  2. Step 2: Convert to fraction form
    223,964/339,500 = 339,500/x
  3. Step 3: Cross multiply
    223,964x = 339,500 × 339,500
  4. Step 4: Simplify right side
    223,964x = 115,260,250,000
  5. Step 5: Solve for x
    x = 115,260,250,000/223,964
  6. Step 6: Final answer
    x = 514,637.40

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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.