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Finding the Third Proportional to 229,021.31 and 301,161.94

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Solution

The third proportional to 229,021.31 and 301,161.94 is: 396,026.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,021.31 : 301,161.94 = 301,161.94 : x
  2. Step 2: Convert to fraction form
    229,021.31/301,161.94 = 301,161.94/x
  3. Step 3: Cross multiply
    229,021.31x = 301,161.94 × 301,161.94
  4. Step 4: Simplify right side
    229,021.31x = 90,698,512,598.75
  5. Step 5: Solve for x
    x = 90,698,512,598.75/229,021.31
  6. Step 6: Final answer
    x = 396,026.52

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.