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Finding the Third Proportional to 150,178 and 329,888

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Solution

The third proportional to 150,178 and 329,888 is: 724,647.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,178 : 329,888 = 329,888 : x
  2. Step 2: Convert to fraction form
    150,178/329,888 = 329,888/x
  3. Step 3: Cross multiply
    150,178x = 329,888 × 329,888
  4. Step 4: Simplify right side
    150,178x = 108,826,092,544
  5. Step 5: Solve for x
    x = 108,826,092,544/150,178
  6. Step 6: Final answer
    x = 724,647.37

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.