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Finding the Third Proportional to 155,596 and 339,353

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Solution

The third proportional to 155,596 and 339,353 is: 740,124.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,596 : 339,353 = 339,353 : x
  2. Step 2: Convert to fraction form
    155,596/339,353 = 339,353/x
  3. Step 3: Cross multiply
    155,596x = 339,353 × 339,353
  4. Step 4: Simplify right side
    155,596x = 115,160,458,609
  5. Step 5: Solve for x
    x = 115,160,458,609/155,596
  6. Step 6: Final answer
    x = 740,124.80

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.