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Finding the Third Proportional to 229,011 and 336,672

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Solution

The third proportional to 229,011 and 336,672 is: 494,945.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,011 : 336,672 = 336,672 : x
  2. Step 2: Convert to fraction form
    229,011/336,672 = 336,672/x
  3. Step 3: Cross multiply
    229,011x = 336,672 × 336,672
  4. Step 4: Simplify right side
    229,011x = 113,348,035,584
  5. Step 5: Solve for x
    x = 113,348,035,584/229,011
  6. Step 6: Final answer
    x = 494,945.81

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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.