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Finding the Third Proportional to 154,166 and 334,538

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Solution

The third proportional to 154,166 and 334,538 is: 725,942.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,166 : 334,538 = 334,538 : x
  2. Step 2: Convert to fraction form
    154,166/334,538 = 334,538/x
  3. Step 3: Cross multiply
    154,166x = 334,538 × 334,538
  4. Step 4: Simplify right side
    154,166x = 111,915,673,444
  5. Step 5: Solve for x
    x = 111,915,673,444/154,166
  6. Step 6: Final answer
    x = 725,942.64

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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.