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Finding the Third Proportional to 163,086 and 259,453

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Solution

The third proportional to 163,086 and 259,453 is: 412,762.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,086 : 259,453 = 259,453 : x
  2. Step 2: Convert to fraction form
    163,086/259,453 = 259,453/x
  3. Step 3: Cross multiply
    163,086x = 259,453 × 259,453
  4. Step 4: Simplify right side
    163,086x = 67,315,859,209
  5. Step 5: Solve for x
    x = 67,315,859,209/163,086
  6. Step 6: Final answer
    x = 412,762.95

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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.