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Finding the Third Proportional to 174,669 and 374,237

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Solution

The third proportional to 174,669 and 374,237 is: 801,821.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,669 : 374,237 = 374,237 : x
  2. Step 2: Convert to fraction form
    174,669/374,237 = 374,237/x
  3. Step 3: Cross multiply
    174,669x = 374,237 × 374,237
  4. Step 4: Simplify right side
    174,669x = 140,053,332,169
  5. Step 5: Solve for x
    x = 140,053,332,169/174,669
  6. Step 6: Final answer
    x = 801,821.34

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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.