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Finding the Third Proportional to 163,786 and 259,692

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Solution

The third proportional to 163,786 and 259,692 is: 411,756.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,786 : 259,692 = 259,692 : x
  2. Step 2: Convert to fraction form
    163,786/259,692 = 259,692/x
  3. Step 3: Cross multiply
    163,786x = 259,692 × 259,692
  4. Step 4: Simplify right side
    163,786x = 67,439,934,864
  5. Step 5: Solve for x
    x = 67,439,934,864/163,786
  6. Step 6: Final answer
    x = 411,756.41

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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.