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Finding the Third Proportional to 164,954 and 355,972

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Solution

The third proportional to 164,954 and 355,972 is: 768,190.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,954 : 355,972 = 355,972 : x
  2. Step 2: Convert to fraction form
    164,954/355,972 = 355,972/x
  3. Step 3: Cross multiply
    164,954x = 355,972 × 355,972
  4. Step 4: Simplify right side
    164,954x = 126,716,064,784
  5. Step 5: Solve for x
    x = 126,716,064,784/164,954
  6. Step 6: Final answer
    x = 768,190.31

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.