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Finding the Third Proportional to 188,264 and 367,069

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Solution

The third proportional to 188,264 and 367,069 is: 715,695.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,264 : 367,069 = 367,069 : x
  2. Step 2: Convert to fraction form
    188,264/367,069 = 367,069/x
  3. Step 3: Cross multiply
    188,264x = 367,069 × 367,069
  4. Step 4: Simplify right side
    188,264x = 134,739,650,761
  5. Step 5: Solve for x
    x = 134,739,650,761/188,264
  6. Step 6: Final answer
    x = 715,695.25

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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.