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Finding the Third Proportional to 163,824 and 260,496

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Solution

The third proportional to 163,824 and 260,496 is: 414,213.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,824 : 260,496 = 260,496 : x
  2. Step 2: Convert to fraction form
    163,824/260,496 = 260,496/x
  3. Step 3: Cross multiply
    163,824x = 260,496 × 260,496
  4. Step 4: Simplify right side
    163,824x = 67,858,166,016
  5. Step 5: Solve for x
    x = 67,858,166,016/163,824
  6. Step 6: Final answer
    x = 414,213.83

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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.