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Finding the Third Proportional to 144,447 and 208,062

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Solution

The third proportional to 144,447 and 208,062 is: 299,693.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,447 : 208,062 = 208,062 : x
  2. Step 2: Convert to fraction form
    144,447/208,062 = 208,062/x
  3. Step 3: Cross multiply
    144,447x = 208,062 × 208,062
  4. Step 4: Simplify right side
    144,447x = 43,289,795,844
  5. Step 5: Solve for x
    x = 43,289,795,844/144,447
  6. Step 6: Final answer
    x = 299,693.28

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Why These Related Problems?

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