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Finding the Third Proportional to 174,719 and 374,356

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Solution

The third proportional to 174,719 and 374,356 is: 802,101.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,719 : 374,356 = 374,356 : x
  2. Step 2: Convert to fraction form
    174,719/374,356 = 374,356/x
  3. Step 3: Cross multiply
    174,719x = 374,356 × 374,356
  4. Step 4: Simplify right side
    174,719x = 140,142,414,736
  5. Step 5: Solve for x
    x = 140,142,414,736/174,719
  6. Step 6: Final answer
    x = 802,101.74

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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.