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Finding the Third Proportional to 236,894 and 313,004

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Solution

The third proportional to 236,894 and 313,004 is: 413,566.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    236,894 : 313,004 = 313,004 : x
  2. Step 2: Convert to fraction form
    236,894/313,004 = 313,004/x
  3. Step 3: Cross multiply
    236,894x = 313,004 × 313,004
  4. Step 4: Simplify right side
    236,894x = 97,971,504,016
  5. Step 5: Solve for x
    x = 97,971,504,016/236,894
  6. Step 6: Final answer
    x = 413,566.84

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Why These Related Problems?

These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.