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Finding the Third Proportional to 188,271 and 367,082

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Solution

The third proportional to 188,271 and 367,082 is: 715,719.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,271 : 367,082 = 367,082 : x
  2. Step 2: Convert to fraction form
    188,271/367,082 = 367,082/x
  3. Step 3: Cross multiply
    188,271x = 367,082 × 367,082
  4. Step 4: Simplify right side
    188,271x = 134,749,194,724
  5. Step 5: Solve for x
    x = 134,749,194,724/188,271
  6. Step 6: Final answer
    x = 715,719.33

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.