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Finding the Third Proportional to 183,840.89 and 275,668.31

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Solution

The third proportional to 183,840.89 and 275,668.31 is: 413,362.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,840.89 : 275,668.31 = 275,668.31 : x
  2. Step 2: Convert to fraction form
    183,840.89/275,668.31 = 275,668.31/x
  3. Step 3: Cross multiply
    183,840.89x = 275,668.31 × 275,668.31
  4. Step 4: Simplify right side
    183,840.89x = 75,993,018,516.60
  5. Step 5: Solve for x
    x = 75,993,018,516.60/183,840.89
  6. Step 6: Final answer
    x = 413,362.98

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.