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Finding the Third Proportional to 163,212 and 346,026

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Solution

The third proportional to 163,212 and 346,026 is: 733,610.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,212 : 346,026 = 346,026 : x
  2. Step 2: Convert to fraction form
    163,212/346,026 = 346,026/x
  3. Step 3: Cross multiply
    163,212x = 346,026 × 346,026
  4. Step 4: Simplify right side
    163,212x = 119,733,992,676
  5. Step 5: Solve for x
    x = 119,733,992,676/163,212
  6. Step 6: Final answer
    x = 733,610.23

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.