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Finding the Third Proportional to 166,275.50 and 243,517.50

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Solution

The third proportional to 166,275.50 and 243,517.50 is: 356,641.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,275.50 : 243,517.50 = 243,517.50 : x
  2. Step 2: Convert to fraction form
    166,275.50/243,517.50 = 243,517.50/x
  3. Step 3: Cross multiply
    166,275.50x = 243,517.50 × 243,517.50
  4. Step 4: Simplify right side
    166,275.50x = 59,300,772,806.25
  5. Step 5: Solve for x
    x = 59,300,772,806.25/166,275.50
  6. Step 6: Final answer
    x = 356,641.67

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.