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Finding the Third Proportional to 188,266 and 367,073

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Solution

The third proportional to 188,266 and 367,073 is: 715,703.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,266 : 367,073 = 367,073 : x
  2. Step 2: Convert to fraction form
    188,266/367,073 = 367,073/x
  3. Step 3: Cross multiply
    188,266x = 367,073 × 367,073
  4. Step 4: Simplify right side
    188,266x = 134,742,587,329
  5. Step 5: Solve for x
    x = 134,742,587,329/188,266
  6. Step 6: Final answer
    x = 715,703.25

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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.