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Finding the Third Proportional to 144,448 and 322,090

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Solution

The third proportional to 144,448 and 322,090 is: 718,195.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,448 : 322,090 = 322,090 : x
  2. Step 2: Convert to fraction form
    144,448/322,090 = 322,090/x
  3. Step 3: Cross multiply
    144,448x = 322,090 × 322,090
  4. Step 4: Simplify right side
    144,448x = 103,741,968,100
  5. Step 5: Solve for x
    x = 103,741,968,100/144,448
  6. Step 6: Final answer
    x = 718,195.95

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These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.