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Finding the Third Proportional to 135,956 and 298,176

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Solution

The third proportional to 135,956 and 298,176 is: 653,953.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,956 : 298,176 = 298,176 : x
  2. Step 2: Convert to fraction form
    135,956/298,176 = 298,176/x
  3. Step 3: Cross multiply
    135,956x = 298,176 × 298,176
  4. Step 4: Simplify right side
    135,956x = 88,908,926,976
  5. Step 5: Solve for x
    x = 88,908,926,976/135,956
  6. Step 6: Final answer
    x = 653,953.68

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.