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Finding the Third Proportional to 174,552 and 376,962

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Solution

The third proportional to 174,552 and 376,962 is: 814,086.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,552 : 376,962 = 376,962 : x
  2. Step 2: Convert to fraction form
    174,552/376,962 = 376,962/x
  3. Step 3: Cross multiply
    174,552x = 376,962 × 376,962
  4. Step 4: Simplify right side
    174,552x = 142,100,349,444
  5. Step 5: Solve for x
    x = 142,100,349,444/174,552
  6. Step 6: Final answer
    x = 814,086.06

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.