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Finding the Third Proportional to 146,209.50 and 183,022.50

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Solution

The third proportional to 146,209.50 and 183,022.50 is: 229,104.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,209.50 : 183,022.50 = 183,022.50 : x
  2. Step 2: Convert to fraction form
    146,209.50/183,022.50 = 183,022.50/x
  3. Step 3: Cross multiply
    146,209.50x = 183,022.50 × 183,022.50
  4. Step 4: Simplify right side
    146,209.50x = 33,497,235,506.25
  5. Step 5: Solve for x
    x = 33,497,235,506.25/146,209.50
  6. Step 6: Final answer
    x = 229,104.37

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Why These Related Problems?

These problems maintain the same ratio (1.25) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.