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Finding the Third Proportional to 151,920 and 334,368

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Solution

The third proportional to 151,920 and 334,368 is: 735,926.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,920 : 334,368 = 334,368 : x
  2. Step 2: Convert to fraction form
    151,920/334,368 = 334,368/x
  3. Step 3: Cross multiply
    151,920x = 334,368 × 334,368
  4. Step 4: Simplify right side
    151,920x = 111,801,959,424
  5. Step 5: Solve for x
    x = 111,801,959,424/151,920
  6. Step 6: Final answer
    x = 735,926.54

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.