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Finding the Third Proportional to 155,594 and 339,349

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Solution

The third proportional to 155,594 and 339,349 is: 740,116.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,594 : 339,349 = 339,349 : x
  2. Step 2: Convert to fraction form
    155,594/339,349 = 339,349/x
  3. Step 3: Cross multiply
    155,594x = 339,349 × 339,349
  4. Step 4: Simplify right side
    155,594x = 115,157,743,801
  5. Step 5: Solve for x
    x = 115,157,743,801/155,594
  6. Step 6: Final answer
    x = 740,116.87

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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.