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Finding the Third Proportional to 214,224 and 332,106

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Solution

The third proportional to 214,224 and 332,106 is: 514,855.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,224 : 332,106 = 332,106 : x
  2. Step 2: Convert to fraction form
    214,224/332,106 = 332,106/x
  3. Step 3: Cross multiply
    214,224x = 332,106 × 332,106
  4. Step 4: Simplify right side
    214,224x = 110,294,395,236
  5. Step 5: Solve for x
    x = 110,294,395,236/214,224
  6. Step 6: Final answer
    x = 514,855.46

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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.