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Finding the Third Proportional to 154,539 and 338,607

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Solution

The third proportional to 154,539 and 338,607 is: 741,914.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,539 : 338,607 = 338,607 : x
  2. Step 2: Convert to fraction form
    154,539/338,607 = 338,607/x
  3. Step 3: Cross multiply
    154,539x = 338,607 × 338,607
  4. Step 4: Simplify right side
    154,539x = 114,654,700,449
  5. Step 5: Solve for x
    x = 114,654,700,449/154,539
  6. Step 6: Final answer
    x = 741,914.34

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.