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Finding the Third Proportional to 164,938 and 367,652

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Solution

The third proportional to 164,938 and 367,652 is: 819,507.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,938 : 367,652 = 367,652 : x
  2. Step 2: Convert to fraction form
    164,938/367,652 = 367,652/x
  3. Step 3: Cross multiply
    164,938x = 367,652 × 367,652
  4. Step 4: Simplify right side
    164,938x = 135,167,993,104
  5. Step 5: Solve for x
    x = 135,167,993,104/164,938
  6. Step 6: Final answer
    x = 819,507.89

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.