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Finding the Third Proportional to 197,034 and 312,049

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Solution

The third proportional to 197,034 and 312,049 is: 494,201.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,034 : 312,049 = 312,049 : x
  2. Step 2: Convert to fraction form
    197,034/312,049 = 312,049/x
  3. Step 3: Cross multiply
    197,034x = 312,049 × 312,049
  4. Step 4: Simplify right side
    197,034x = 97,374,578,401
  5. Step 5: Solve for x
    x = 97,374,578,401/197,034
  6. Step 6: Final answer
    x = 494,201.91

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.