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Finding the Third Proportional to 164,665 and 236,629.50

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Solution

The third proportional to 164,665 and 236,629.50 is: 340,045.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,665 : 236,629.50 = 236,629.50 : x
  2. Step 2: Convert to fraction form
    164,665/236,629.50 = 236,629.50/x
  3. Step 3: Cross multiply
    164,665x = 236,629.50 × 236,629.50
  4. Step 4: Simplify right side
    164,665x = 55,993,520,270.25
  5. Step 5: Solve for x
    x = 55,993,520,270.25/164,665
  6. Step 6: Final answer
    x = 340,045.06

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These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.