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Finding the Third Proportional to 172,710 and 374,940

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Solution

The third proportional to 172,710 and 374,940 is: 813,965.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,710 : 374,940 = 374,940 : x
  2. Step 2: Convert to fraction form
    172,710/374,940 = 374,940/x
  3. Step 3: Cross multiply
    172,710x = 374,940 × 374,940
  4. Step 4: Simplify right side
    172,710x = 140,580,003,600
  5. Step 5: Solve for x
    x = 140,580,003,600/172,710
  6. Step 6: Final answer
    x = 813,965.63

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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.