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Finding the Third Proportional to 220,968 and 337,870.50

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Solution

The third proportional to 220,968 and 337,870.50 is: 516,619.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    220,968 : 337,870.50 = 337,870.50 : x
  2. Step 2: Convert to fraction form
    220,968/337,870.50 = 337,870.50/x
  3. Step 3: Cross multiply
    220,968x = 337,870.50 × 337,870.50
  4. Step 4: Simplify right side
    220,968x = 114,156,474,770.25
  5. Step 5: Solve for x
    x = 114,156,474,770.25/220,968
  6. Step 6: Final answer
    x = 516,619.94

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.