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Finding the Third Proportional to 238,941 and 372,928.50

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Solution

The third proportional to 238,941 and 372,928.50 is: 582,050.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,941 : 372,928.50 = 372,928.50 : x
  2. Step 2: Convert to fraction form
    238,941/372,928.50 = 372,928.50/x
  3. Step 3: Cross multiply
    238,941x = 372,928.50 × 372,928.50
  4. Step 4: Simplify right side
    238,941x = 139,075,666,112.25
  5. Step 5: Solve for x
    x = 139,075,666,112.25/238,941
  6. Step 6: Final answer
    x = 582,050.24

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.