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Finding the Third Proportional to 174,028 and 368,648

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Solution

The third proportional to 174,028 and 368,648 is: 780,916.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,028 : 368,648 = 368,648 : x
  2. Step 2: Convert to fraction form
    174,028/368,648 = 368,648/x
  3. Step 3: Cross multiply
    174,028x = 368,648 × 368,648
  4. Step 4: Simplify right side
    174,028x = 135,901,347,904
  5. Step 5: Solve for x
    x = 135,901,347,904/174,028
  6. Step 6: Final answer
    x = 780,916.56

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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.