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Finding the Third Proportional to 144,771.75 and 208,851.75

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Solution

The third proportional to 144,771.75 and 208,851.75 is: 301,295.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,771.75 : 208,851.75 = 208,851.75 : x
  2. Step 2: Convert to fraction form
    144,771.75/208,851.75 = 208,851.75/x
  3. Step 3: Cross multiply
    144,771.75x = 208,851.75 × 208,851.75
  4. Step 4: Simplify right side
    144,771.75x = 43,619,053,478.06
  5. Step 5: Solve for x
    x = 43,619,053,478.06/144,771.75
  6. Step 6: Final answer
    x = 301,295.34

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These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.