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Finding the Third Proportional to 164,378 and 353,727

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Solution

The third proportional to 164,378 and 353,727 is: 761,189.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,378 : 353,727 = 353,727 : x
  2. Step 2: Convert to fraction form
    164,378/353,727 = 353,727/x
  3. Step 3: Cross multiply
    164,378x = 353,727 × 353,727
  4. Step 4: Simplify right side
    164,378x = 125,122,790,529
  5. Step 5: Solve for x
    x = 125,122,790,529/164,378
  6. Step 6: Final answer
    x = 761,189.40

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.