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Finding the Third Proportional to 237,010 and 364,311

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Solution

The third proportional to 237,010 and 364,311 is: 559,986.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    237,010 : 364,311 = 364,311 : x
  2. Step 2: Convert to fraction form
    237,010/364,311 = 364,311/x
  3. Step 3: Cross multiply
    237,010x = 364,311 × 364,311
  4. Step 4: Simplify right side
    237,010x = 132,722,504,721
  5. Step 5: Solve for x
    x = 132,722,504,721/237,010
  6. Step 6: Final answer
    x = 559,986.94

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.