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Finding the Third Proportional to 163,162 and 229,771

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Solution

The third proportional to 163,162 and 229,771 is: 323,572.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,162 : 229,771 = 229,771 : x
  2. Step 2: Convert to fraction form
    163,162/229,771 = 229,771/x
  3. Step 3: Cross multiply
    163,162x = 229,771 × 229,771
  4. Step 4: Simplify right side
    163,162x = 52,794,712,441
  5. Step 5: Solve for x
    x = 52,794,712,441/163,162
  6. Step 6: Final answer
    x = 323,572.35

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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.