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Finding the Third Proportional to 174,343 and 368,270

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Solution

The third proportional to 174,343 and 368,270 is: 777,907.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,343 : 368,270 = 368,270 : x
  2. Step 2: Convert to fraction form
    174,343/368,270 = 368,270/x
  3. Step 3: Cross multiply
    174,343x = 368,270 × 368,270
  4. Step 4: Simplify right side
    174,343x = 135,622,792,900
  5. Step 5: Solve for x
    x = 135,622,792,900/174,343
  6. Step 6: Final answer
    x = 777,907.88

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.