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Finding the Third Proportional to 163,084 and 259,450

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Solution

The third proportional to 163,084 and 259,450 is: 412,758.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,084 : 259,450 = 259,450 : x
  2. Step 2: Convert to fraction form
    163,084/259,450 = 259,450/x
  3. Step 3: Cross multiply
    163,084x = 259,450 × 259,450
  4. Step 4: Simplify right side
    163,084x = 67,314,302,500
  5. Step 5: Solve for x
    x = 67,314,302,500/163,084
  6. Step 6: Final answer
    x = 412,758.47

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.