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Finding the Third Proportional to 213,934 and 332,602

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Solution

The third proportional to 213,934 and 332,602 is: 517,094.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,934 : 332,602 = 332,602 : x
  2. Step 2: Convert to fraction form
    213,934/332,602 = 332,602/x
  3. Step 3: Cross multiply
    213,934x = 332,602 × 332,602
  4. Step 4: Simplify right side
    213,934x = 110,624,090,404
  5. Step 5: Solve for x
    x = 110,624,090,404/213,934
  6. Step 6: Final answer
    x = 517,094.48

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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.