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Finding the Third Proportional to 171,316 and 368,147

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Solution

The third proportional to 171,316 and 368,147 is: 791,124.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,316 : 368,147 = 368,147 : x
  2. Step 2: Convert to fraction form
    171,316/368,147 = 368,147/x
  3. Step 3: Cross multiply
    171,316x = 368,147 × 368,147
  4. Step 4: Simplify right side
    171,316x = 135,532,213,609
  5. Step 5: Solve for x
    x = 135,532,213,609/171,316
  6. Step 6: Final answer
    x = 791,124.08

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.