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Finding the Third Proportional to 217,476 and 334,374

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Solution

The third proportional to 217,476 and 334,374 is: 514,107.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,476 : 334,374 = 334,374 : x
  2. Step 2: Convert to fraction form
    217,476/334,374 = 334,374/x
  3. Step 3: Cross multiply
    217,476x = 334,374 × 334,374
  4. Step 4: Simplify right side
    217,476x = 111,805,971,876
  5. Step 5: Solve for x
    x = 111,805,971,876/217,476
  6. Step 6: Final answer
    x = 514,107.17

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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.