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Finding the Third Proportional to 188,253 and 367,046

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Solution

The third proportional to 188,253 and 367,046 is: 715,647.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,253 : 367,046 = 367,046 : x
  2. Step 2: Convert to fraction form
    188,253/367,046 = 367,046/x
  3. Step 3: Cross multiply
    188,253x = 367,046 × 367,046
  4. Step 4: Simplify right side
    188,253x = 134,722,766,116
  5. Step 5: Solve for x
    x = 134,722,766,116/188,253
  6. Step 6: Final answer
    x = 715,647.38

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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.