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Finding the Third Proportional to 214,623 and 332,172

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Solution

The third proportional to 214,623 and 332,172 is: 514,102.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,623 : 332,172 = 332,172 : x
  2. Step 2: Convert to fraction form
    214,623/332,172 = 332,172/x
  3. Step 3: Cross multiply
    214,623x = 332,172 × 332,172
  4. Step 4: Simplify right side
    214,623x = 110,338,237,584
  5. Step 5: Solve for x
    x = 110,338,237,584/214,623
  6. Step 6: Final answer
    x = 514,102.58

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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.