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Finding the Third Proportional to 238,392 and 360,016.50

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Solution

The third proportional to 238,392 and 360,016.50 is: 543,692.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,392 : 360,016.50 = 360,016.50 : x
  2. Step 2: Convert to fraction form
    238,392/360,016.50 = 360,016.50/x
  3. Step 3: Cross multiply
    238,392x = 360,016.50 × 360,016.50
  4. Step 4: Simplify right side
    238,392x = 129,611,880,272.25
  5. Step 5: Solve for x
    x = 129,611,880,272.25/238,392
  6. Step 6: Final answer
    x = 543,692.24

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.