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Finding the Third Proportional to 217,374 and 334,161

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Solution

The third proportional to 217,374 and 334,161 is: 513,693.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,374 : 334,161 = 334,161 : x
  2. Step 2: Convert to fraction form
    217,374/334,161 = 334,161/x
  3. Step 3: Cross multiply
    217,374x = 334,161 × 334,161
  4. Step 4: Simplify right side
    217,374x = 111,663,573,921
  5. Step 5: Solve for x
    x = 111,663,573,921/217,374
  6. Step 6: Final answer
    x = 513,693.33

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.