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Finding the Third Proportional to 197,516 and 301,134

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Solution

The third proportional to 197,516 and 301,134 is: 459,110.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,516 : 301,134 = 301,134 : x
  2. Step 2: Convert to fraction form
    197,516/301,134 = 301,134/x
  3. Step 3: Cross multiply
    197,516x = 301,134 × 301,134
  4. Step 4: Simplify right side
    197,516x = 90,681,685,956
  5. Step 5: Solve for x
    x = 90,681,685,956/197,516
  6. Step 6: Final answer
    x = 459,110.58

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.