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Finding the Third Proportional to 166,053.75 and 224,238

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Solution

The third proportional to 166,053.75 and 224,238 is: 302,809.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,053.75 : 224,238 = 224,238 : x
  2. Step 2: Convert to fraction form
    166,053.75/224,238 = 224,238/x
  3. Step 3: Cross multiply
    166,053.75x = 224,238 × 224,238
  4. Step 4: Simplify right side
    166,053.75x = 50,282,680,644
  5. Step 5: Solve for x
    x = 50,282,680,644/166,053.75
  6. Step 6: Final answer
    x = 302,809.67

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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.