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Finding the Third Proportional to 226,688 and 333,759

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Solution

The third proportional to 226,688 and 333,759 is: 491,402.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,688 : 333,759 = 333,759 : x
  2. Step 2: Convert to fraction form
    226,688/333,759 = 333,759/x
  3. Step 3: Cross multiply
    226,688x = 333,759 × 333,759
  4. Step 4: Simplify right side
    226,688x = 111,395,070,081
  5. Step 5: Solve for x
    x = 111,395,070,081/226,688
  6. Step 6: Final answer
    x = 491,402.59

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.