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Finding the Third Proportional to 144,767.25 and 208,845.75

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Solution

The third proportional to 144,767.25 and 208,845.75 is: 301,287.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,767.25 : 208,845.75 = 208,845.75 : x
  2. Step 2: Convert to fraction form
    144,767.25/208,845.75 = 208,845.75/x
  3. Step 3: Cross multiply
    144,767.25x = 208,845.75 × 208,845.75
  4. Step 4: Simplify right side
    144,767.25x = 43,616,547,293.06
  5. Step 5: Solve for x
    x = 43,616,547,293.06/144,767.25
  6. Step 6: Final answer
    x = 301,287.39

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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.