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Finding the Third Proportional to 201,907 and 294,097

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Solution

The third proportional to 201,907 and 294,097 is: 428,380.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,907 : 294,097 = 294,097 : x
  2. Step 2: Convert to fraction form
    201,907/294,097 = 294,097/x
  3. Step 3: Cross multiply
    201,907x = 294,097 × 294,097
  4. Step 4: Simplify right side
    201,907x = 86,493,045,409
  5. Step 5: Solve for x
    x = 86,493,045,409/201,907
  6. Step 6: Final answer
    x = 428,380.62

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.