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Finding the Third Proportional to 188,244 and 367,031

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Solution

The third proportional to 188,244 and 367,031 is: 715,623.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,244 : 367,031 = 367,031 : x
  2. Step 2: Convert to fraction form
    188,244/367,031 = 367,031/x
  3. Step 3: Cross multiply
    188,244x = 367,031 × 367,031
  4. Step 4: Simplify right side
    188,244x = 134,711,754,961
  5. Step 5: Solve for x
    x = 134,711,754,961/188,244
  6. Step 6: Final answer
    x = 715,623.10

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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.