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Finding the Third Proportional to 174,908 and 374,707

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Solution

The third proportional to 174,908 and 374,707 is: 802,738.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,908 : 374,707 = 374,707 : x
  2. Step 2: Convert to fraction form
    174,908/374,707 = 374,707/x
  3. Step 3: Cross multiply
    174,908x = 374,707 × 374,707
  4. Step 4: Simplify right side
    174,908x = 140,405,335,849
  5. Step 5: Solve for x
    x = 140,405,335,849/174,908
  6. Step 6: Final answer
    x = 802,738.22

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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.