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Finding the Third Proportional to 229,738 and 335,696

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Solution

The third proportional to 229,738 and 335,696 is: 490,523.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,738 : 335,696 = 335,696 : x
  2. Step 2: Convert to fraction form
    229,738/335,696 = 335,696/x
  3. Step 3: Cross multiply
    229,738x = 335,696 × 335,696
  4. Step 4: Simplify right side
    229,738x = 112,691,804,416
  5. Step 5: Solve for x
    x = 112,691,804,416/229,738
  6. Step 6: Final answer
    x = 490,523.14

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.