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Finding the Third Proportional to 168,410 and 374,206

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Solution

The third proportional to 168,410 and 374,206 is: 831,483.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    168,410 : 374,206 = 374,206 : x
  2. Step 2: Convert to fraction form
    168,410/374,206 = 374,206/x
  3. Step 3: Cross multiply
    168,410x = 374,206 × 374,206
  4. Step 4: Simplify right side
    168,410x = 140,030,130,436
  5. Step 5: Solve for x
    x = 140,030,130,436/168,410
  6. Step 6: Final answer
    x = 831,483.47

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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.