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Finding the Third Proportional to 98,450 and 210,898

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Solution

The third proportional to 98,450 and 210,898 is: 451,782.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,450 : 210,898 = 210,898 : x
  2. Step 2: Convert to fraction form
    98,450/210,898 = 210,898/x
  3. Step 3: Cross multiply
    98,450x = 210,898 × 210,898
  4. Step 4: Simplify right side
    98,450x = 44,477,966,404
  5. Step 5: Solve for x
    x = 44,477,966,404/98,450
  6. Step 6: Final answer
    x = 451,782.29

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.