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Finding the Third Proportional to 144,438 and 347,939.25

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Solution

The third proportional to 144,438 and 347,939.25 is: 838,157.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,438 : 347,939.25 = 347,939.25 : x
  2. Step 2: Convert to fraction form
    144,438/347,939.25 = 347,939.25/x
  3. Step 3: Cross multiply
    144,438x = 347,939.25 × 347,939.25
  4. Step 4: Simplify right side
    144,438x = 121,061,721,690.56
  5. Step 5: Solve for x
    x = 121,061,721,690.56/144,438
  6. Step 6: Final answer
    x = 838,157.01

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These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.