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Finding the Third Proportional to 174,620 and 374,728

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Solution

The third proportional to 174,620 and 374,728 is: 804,152.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,620 : 374,728 = 374,728 : x
  2. Step 2: Convert to fraction form
    174,620/374,728 = 374,728/x
  3. Step 3: Cross multiply
    174,620x = 374,728 × 374,728
  4. Step 4: Simplify right side
    174,620x = 140,421,073,984
  5. Step 5: Solve for x
    x = 140,421,073,984/174,620
  6. Step 6: Final answer
    x = 804,152.30

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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.