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Finding the Third Proportional to 154,734 and 334,728

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Solution

The third proportional to 154,734 and 334,728 is: 724,099.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,734 : 334,728 = 334,728 : x
  2. Step 2: Convert to fraction form
    154,734/334,728 = 334,728/x
  3. Step 3: Cross multiply
    154,734x = 334,728 × 334,728
  4. Step 4: Simplify right side
    154,734x = 112,042,833,984
  5. Step 5: Solve for x
    x = 112,042,833,984/154,734
  6. Step 6: Final answer
    x = 724,099.64

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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.