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Finding the Third Proportional to 154,168 and 334,542

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Solution

The third proportional to 154,168 and 334,542 is: 725,950.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,168 : 334,542 = 334,542 : x
  2. Step 2: Convert to fraction form
    154,168/334,542 = 334,542/x
  3. Step 3: Cross multiply
    154,168x = 334,542 × 334,542
  4. Step 4: Simplify right side
    154,168x = 111,918,349,764
  5. Step 5: Solve for x
    x = 111,918,349,764/154,168
  6. Step 6: Final answer
    x = 725,950.58

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.