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Finding the Third Proportional to 218,394 and 339,254

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Solution

The third proportional to 218,394 and 339,254 is: 526,998.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,394 : 339,254 = 339,254 : x
  2. Step 2: Convert to fraction form
    218,394/339,254 = 339,254/x
  3. Step 3: Cross multiply
    218,394x = 339,254 × 339,254
  4. Step 4: Simplify right side
    218,394x = 115,093,276,516
  5. Step 5: Solve for x
    x = 115,093,276,516/218,394
  6. Step 6: Final answer
    x = 526,998.34

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.