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Finding the Third Proportional to 154,008 and 334,368

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Solution

The third proportional to 154,008 and 334,368 is: 725,949.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,008 : 334,368 = 334,368 : x
  2. Step 2: Convert to fraction form
    154,008/334,368 = 334,368/x
  3. Step 3: Cross multiply
    154,008x = 334,368 × 334,368
  4. Step 4: Simplify right side
    154,008x = 111,801,959,424
  5. Step 5: Solve for x
    x = 111,801,959,424/154,008
  6. Step 6: Final answer
    x = 725,949.04

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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.