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Finding the Third Proportional to 144,906.47 and 213,166.69

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Solution

The third proportional to 144,906.47 and 213,166.69 is: 313,581.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,906.47 : 213,166.69 = 213,166.69 : x
  2. Step 2: Convert to fraction form
    144,906.47/213,166.69 = 213,166.69/x
  3. Step 3: Cross multiply
    144,906.47x = 213,166.69 × 213,166.69
  4. Step 4: Simplify right side
    144,906.47x = 45,440,036,659.72
  5. Step 5: Solve for x
    x = 45,440,036,659.72/144,906.47
  6. Step 6: Final answer
    x = 313,581.84

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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.