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Finding the Third Proportional to 149,557.13 and 320,133.75

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Solution

The third proportional to 149,557.13 and 320,133.75 is: 685,260.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,557.13 : 320,133.75 = 320,133.75 : x
  2. Step 2: Convert to fraction form
    149,557.13/320,133.75 = 320,133.75/x
  3. Step 3: Cross multiply
    149,557.13x = 320,133.75 × 320,133.75
  4. Step 4: Simplify right side
    149,557.13x = 102,485,617,889.06
  5. Step 5: Solve for x
    x = 102,485,617,889.06/149,557.13
  6. Step 6: Final answer
    x = 685,260.68

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.