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Finding the Third Proportional to 174,996 and 374,777

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Solution

The third proportional to 174,996 and 374,777 is: 802,634.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,996 : 374,777 = 374,777 : x
  2. Step 2: Convert to fraction form
    174,996/374,777 = 374,777/x
  3. Step 3: Cross multiply
    174,996x = 374,777 × 374,777
  4. Step 4: Simplify right side
    174,996x = 140,457,799,729
  5. Step 5: Solve for x
    x = 140,457,799,729/174,996
  6. Step 6: Final answer
    x = 802,634.34

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.