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Finding the Third Proportional to 168,347 and 374,063

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Solution

The third proportional to 168,347 and 374,063 is: 831,159.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    168,347 : 374,063 = 374,063 : x
  2. Step 2: Convert to fraction form
    168,347/374,063 = 374,063/x
  3. Step 3: Cross multiply
    168,347x = 374,063 × 374,063
  4. Step 4: Simplify right side
    168,347x = 139,923,127,969
  5. Step 5: Solve for x
    x = 139,923,127,969/168,347
  6. Step 6: Final answer
    x = 831,159.02

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.