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Finding the Third Proportional to 164,497 and 247,962

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Solution

The third proportional to 164,497 and 247,962 is: 373,776.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,497 : 247,962 = 247,962 : x
  2. Step 2: Convert to fraction form
    164,497/247,962 = 247,962/x
  3. Step 3: Cross multiply
    164,497x = 247,962 × 247,962
  4. Step 4: Simplify right side
    164,497x = 61,485,153,444
  5. Step 5: Solve for x
    x = 61,485,153,444/164,497
  6. Step 6: Final answer
    x = 373,776.75

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.