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Finding the Third Proportional to 152,274 and 334,917

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Solution

The third proportional to 152,274 and 334,917 is: 736,628.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,274 : 334,917 = 334,917 : x
  2. Step 2: Convert to fraction form
    152,274/334,917 = 334,917/x
  3. Step 3: Cross multiply
    152,274x = 334,917 × 334,917
  4. Step 4: Simplify right side
    152,274x = 112,169,396,889
  5. Step 5: Solve for x
    x = 112,169,396,889/152,274
  6. Step 6: Final answer
    x = 736,628.69

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.