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Finding the Third Proportional to 163,708 and 231,073

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Solution

The third proportional to 163,708 and 231,073 is: 326,158.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,708 : 231,073 = 231,073 : x
  2. Step 2: Convert to fraction form
    163,708/231,073 = 231,073/x
  3. Step 3: Cross multiply
    163,708x = 231,073 × 231,073
  4. Step 4: Simplify right side
    163,708x = 53,394,731,329
  5. Step 5: Solve for x
    x = 53,394,731,329/163,708
  6. Step 6: Final answer
    x = 326,158.35

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.