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Finding the Third Proportional to 150,663.75 and 334,369.50

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Solution

The third proportional to 150,663.75 and 334,369.50 is: 742,069.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,663.75 : 334,369.50 = 334,369.50 : x
  2. Step 2: Convert to fraction form
    150,663.75/334,369.50 = 334,369.50/x
  3. Step 3: Cross multiply
    150,663.75x = 334,369.50 × 334,369.50
  4. Step 4: Simplify right side
    150,663.75x = 111,802,962,530.25
  5. Step 5: Solve for x
    x = 111,802,962,530.25/150,663.75
  6. Step 6: Final answer
    x = 742,069.43

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.