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Finding the Third Proportional to 150,795.75 and 183,304.50

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Solution

The third proportional to 150,795.75 and 183,304.50 is: 222,821.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,795.75 : 183,304.50 = 183,304.50 : x
  2. Step 2: Convert to fraction form
    150,795.75/183,304.50 = 183,304.50/x
  3. Step 3: Cross multiply
    150,795.75x = 183,304.50 × 183,304.50
  4. Step 4: Simplify right side
    150,795.75x = 33,600,539,720.25
  5. Step 5: Solve for x
    x = 33,600,539,720.25/150,795.75
  6. Step 6: Final answer
    x = 222,821.53

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Why These Related Problems?

These problems maintain the same ratio (1.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.