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Finding the Third Proportional to 214,371 and 332,271

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Solution

The third proportional to 214,371 and 332,271 is: 515,013.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,371 : 332,271 = 332,271 : x
  2. Step 2: Convert to fraction form
    214,371/332,271 = 332,271/x
  3. Step 3: Cross multiply
    214,371x = 332,271 × 332,271
  4. Step 4: Simplify right side
    214,371x = 110,404,017,441
  5. Step 5: Solve for x
    x = 110,404,017,441/214,371
  6. Step 6: Final answer
    x = 515,013.77

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.