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Finding the Third Proportional to 163,097 and 229,677

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Solution

The third proportional to 163,097 and 229,677 is: 323,436.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,097 : 229,677 = 229,677 : x
  2. Step 2: Convert to fraction form
    163,097/229,677 = 229,677/x
  3. Step 3: Cross multiply
    163,097x = 229,677 × 229,677
  4. Step 4: Simplify right side
    163,097x = 52,751,524,329
  5. Step 5: Solve for x
    x = 52,751,524,329/163,097
  6. Step 6: Final answer
    x = 323,436.51

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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.