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Finding the Third Proportional to 237,696 and 366,848

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Solution

The third proportional to 237,696 and 366,848 is: 566,174.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    237,696 : 366,848 = 366,848 : x
  2. Step 2: Convert to fraction form
    237,696/366,848 = 366,848/x
  3. Step 3: Cross multiply
    237,696x = 366,848 × 366,848
  4. Step 4: Simplify right side
    237,696x = 134,577,455,104
  5. Step 5: Solve for x
    x = 134,577,455,104/237,696
  6. Step 6: Final answer
    x = 566,174.67

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.