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Finding the Third Proportional to 229,026 and 336,698

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Solution

The third proportional to 229,026 and 336,698 is: 494,989.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,026 : 336,698 = 336,698 : x
  2. Step 2: Convert to fraction form
    229,026/336,698 = 336,698/x
  3. Step 3: Cross multiply
    229,026x = 336,698 × 336,698
  4. Step 4: Simplify right side
    229,026x = 113,365,543,204
  5. Step 5: Solve for x
    x = 113,365,543,204/229,026
  6. Step 6: Final answer
    x = 494,989.84

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.