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Finding the Third Proportional to 154,736 and 334,600

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Solution

The third proportional to 154,736 and 334,600 is: 723,536.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,736 : 334,600 = 334,600 : x
  2. Step 2: Convert to fraction form
    154,736/334,600 = 334,600/x
  3. Step 3: Cross multiply
    154,736x = 334,600 × 334,600
  4. Step 4: Simplify right side
    154,736x = 111,957,160,000
  5. Step 5: Solve for x
    x = 111,957,160,000/154,736
  6. Step 6: Final answer
    x = 723,536.60

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.