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Finding the Third Proportional to 163,946 and 338,114

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Solution

The third proportional to 163,946 and 338,114 is: 697,309.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,946 : 338,114 = 338,114 : x
  2. Step 2: Convert to fraction form
    163,946/338,114 = 338,114/x
  3. Step 3: Cross multiply
    163,946x = 338,114 × 338,114
  4. Step 4: Simplify right side
    163,946x = 114,321,076,996
  5. Step 5: Solve for x
    x = 114,321,076,996/163,946
  6. Step 6: Final answer
    x = 697,309.34

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.