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Finding the Third Proportional to 163,788 and 347,256

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Solution

The third proportional to 163,788 and 347,256 is: 736,236.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,788 : 347,256 = 347,256 : x
  2. Step 2: Convert to fraction form
    163,788/347,256 = 347,256/x
  3. Step 3: Cross multiply
    163,788x = 347,256 × 347,256
  4. Step 4: Simplify right side
    163,788x = 120,586,729,536
  5. Step 5: Solve for x
    x = 120,586,729,536/163,788
  6. Step 6: Final answer
    x = 736,236.66

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.