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Finding the Third Proportional to 229,740 and 335,699

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Solution

The third proportional to 229,740 and 335,699 is: 490,527.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,740 : 335,699 = 335,699 : x
  2. Step 2: Convert to fraction form
    229,740/335,699 = 335,699/x
  3. Step 3: Cross multiply
    229,740x = 335,699 × 335,699
  4. Step 4: Simplify right side
    229,740x = 112,693,818,601
  5. Step 5: Solve for x
    x = 112,693,818,601/229,740
  6. Step 6: Final answer
    x = 490,527.63

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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.