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Finding the Third Proportional to 154,608 and 335,654

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Solution

The third proportional to 154,608 and 335,654 is: 728,704.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,608 : 335,654 = 335,654 : x
  2. Step 2: Convert to fraction form
    154,608/335,654 = 335,654/x
  3. Step 3: Cross multiply
    154,608x = 335,654 × 335,654
  4. Step 4: Simplify right side
    154,608x = 112,663,607,716
  5. Step 5: Solve for x
    x = 112,663,607,716/154,608
  6. Step 6: Final answer
    x = 728,704.90

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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.