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Finding the Third Proportional to 155,128 and 335,012

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Solution

The third proportional to 155,128 and 335,012 is: 723,486.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,128 : 335,012 = 335,012 : x
  2. Step 2: Convert to fraction form
    155,128/335,012 = 335,012/x
  3. Step 3: Cross multiply
    155,128x = 335,012 × 335,012
  4. Step 4: Simplify right side
    155,128x = 112,233,040,144
  5. Step 5: Solve for x
    x = 112,233,040,144/155,128
  6. Step 6: Final answer
    x = 723,486.67

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.