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Finding the Third Proportional to 183,435.50 and 401,610.50

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Solution

The third proportional to 183,435.50 and 401,610.50 is: 879,279.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,435.50 : 401,610.50 = 401,610.50 : x
  2. Step 2: Convert to fraction form
    183,435.50/401,610.50 = 401,610.50/x
  3. Step 3: Cross multiply
    183,435.50x = 401,610.50 × 401,610.50
  4. Step 4: Simplify right side
    183,435.50x = 161,290,993,710.25
  5. Step 5: Solve for x
    x = 161,290,993,710.25/183,435.50
  6. Step 6: Final answer
    x = 879,279.06

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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.