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Finding the Third Proportional to 154,016.50 and 334,385

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Solution

The third proportional to 154,016.50 and 334,385 is: 725,982.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,016.50 : 334,385 = 334,385 : x
  2. Step 2: Convert to fraction form
    154,016.50/334,385 = 334,385/x
  3. Step 3: Cross multiply
    154,016.50x = 334,385 × 334,385
  4. Step 4: Simplify right side
    154,016.50x = 111,813,328,225
  5. Step 5: Solve for x
    x = 111,813,328,225/154,016.50
  6. Step 6: Final answer
    x = 725,982.79

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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.