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Finding the Third Proportional to 172,674 and 374,160

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Solution

The third proportional to 172,674 and 374,160 is: 810,751.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,674 : 374,160 = 374,160 : x
  2. Step 2: Convert to fraction form
    172,674/374,160 = 374,160/x
  3. Step 3: Cross multiply
    172,674x = 374,160 × 374,160
  4. Step 4: Simplify right side
    172,674x = 139,995,705,600
  5. Step 5: Solve for x
    x = 139,995,705,600/172,674
  6. Step 6: Final answer
    x = 810,751.51

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.