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Finding the Third Proportional to 174,902 and 374,700

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Solution

The third proportional to 174,902 and 374,700 is: 802,735.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,902 : 374,700 = 374,700 : x
  2. Step 2: Convert to fraction form
    174,902/374,700 = 374,700/x
  3. Step 3: Cross multiply
    174,902x = 374,700 × 374,700
  4. Step 4: Simplify right side
    174,902x = 140,400,090,000
  5. Step 5: Solve for x
    x = 140,400,090,000/174,902
  6. Step 6: Final answer
    x = 802,735.76

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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.