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Finding the Third Proportional to 155,788 and 338,912

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Solution

The third proportional to 155,788 and 338,912 is: 737,292.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,788 : 338,912 = 338,912 : x
  2. Step 2: Convert to fraction form
    155,788/338,912 = 338,912/x
  3. Step 3: Cross multiply
    155,788x = 338,912 × 338,912
  4. Step 4: Simplify right side
    155,788x = 114,861,343,744
  5. Step 5: Solve for x
    x = 114,861,343,744/155,788
  6. Step 6: Final answer
    x = 737,292.63

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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.