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Finding the Third Proportional to 154,159 and 334,521

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Solution

The third proportional to 154,159 and 334,521 is: 725,901.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,159 : 334,521 = 334,521 : x
  2. Step 2: Convert to fraction form
    154,159/334,521 = 334,521/x
  3. Step 3: Cross multiply
    154,159x = 334,521 × 334,521
  4. Step 4: Simplify right side
    154,159x = 111,904,299,441
  5. Step 5: Solve for x
    x = 111,904,299,441/154,159
  6. Step 6: Final answer
    x = 725,901.83

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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.