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Finding the Third Proportional to 188,260 and 367,061

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Solution

The third proportional to 188,260 and 367,061 is: 715,679.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,260 : 367,061 = 367,061 : x
  2. Step 2: Convert to fraction form
    188,260/367,061 = 367,061/x
  3. Step 3: Cross multiply
    188,260x = 367,061 × 367,061
  4. Step 4: Simplify right side
    188,260x = 134,733,777,721
  5. Step 5: Solve for x
    x = 134,733,777,721/188,260
  6. Step 6: Final answer
    x = 715,679.26

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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.