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Finding the Third Proportional to 149,607 and 327,826.50

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Solution

The third proportional to 149,607 and 327,826.50 is: 718,350.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,607 : 327,826.50 = 327,826.50 : x
  2. Step 2: Convert to fraction form
    149,607/327,826.50 = 327,826.50/x
  3. Step 3: Cross multiply
    149,607x = 327,826.50 × 327,826.50
  4. Step 4: Simplify right side
    149,607x = 107,470,214,102.25
  5. Step 5: Solve for x
    x = 107,470,214,102.25/149,607
  6. Step 6: Final answer
    x = 718,350.17

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.