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Finding the Third Proportional to 222,133.50 and 352,881

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Solution

The third proportional to 222,133.50 and 352,881 is: 560,586.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,133.50 : 352,881 = 352,881 : x
  2. Step 2: Convert to fraction form
    222,133.50/352,881 = 352,881/x
  3. Step 3: Cross multiply
    222,133.50x = 352,881 × 352,881
  4. Step 4: Simplify right side
    222,133.50x = 124,525,000,161
  5. Step 5: Solve for x
    x = 124,525,000,161/222,133.50
  6. Step 6: Final answer
    x = 560,586.31

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.