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Finding the Third Proportional to 216,611 and 334,751

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Solution

The third proportional to 216,611 and 334,751 is: 517,324.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,611 : 334,751 = 334,751 : x
  2. Step 2: Convert to fraction form
    216,611/334,751 = 334,751/x
  3. Step 3: Cross multiply
    216,611x = 334,751 × 334,751
  4. Step 4: Simplify right side
    216,611x = 112,058,232,001
  5. Step 5: Solve for x
    x = 112,058,232,001/216,611
  6. Step 6: Final answer
    x = 517,324.75

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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.