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Finding the Third Proportional to 155,326 and 331,004

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Solution

The third proportional to 155,326 and 331,004 is: 705,378.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,326 : 331,004 = 331,004 : x
  2. Step 2: Convert to fraction form
    155,326/331,004 = 331,004/x
  3. Step 3: Cross multiply
    155,326x = 331,004 × 331,004
  4. Step 4: Simplify right side
    155,326x = 109,563,648,016
  5. Step 5: Solve for x
    x = 109,563,648,016/155,326
  6. Step 6: Final answer
    x = 705,378.67

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.