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Finding the Third Proportional to 188,239 and 367,020

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Solution

The third proportional to 188,239 and 367,020 is: 715,599.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,239 : 367,020 = 367,020 : x
  2. Step 2: Convert to fraction form
    188,239/367,020 = 367,020/x
  3. Step 3: Cross multiply
    188,239x = 367,020 × 367,020
  4. Step 4: Simplify right side
    188,239x = 134,703,680,400
  5. Step 5: Solve for x
    x = 134,703,680,400/188,239
  6. Step 6: Final answer
    x = 715,599.21

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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.