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Finding the Third Proportional to 123,409.50 and 184,305

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Solution

The third proportional to 123,409.50 and 184,305 is: 275,248.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,409.50 : 184,305 = 184,305 : x
  2. Step 2: Convert to fraction form
    123,409.50/184,305 = 184,305/x
  3. Step 3: Cross multiply
    123,409.50x = 184,305 × 184,305
  4. Step 4: Simplify right side
    123,409.50x = 33,968,333,025
  5. Step 5: Solve for x
    x = 33,968,333,025/123,409.50
  6. Step 6: Final answer
    x = 275,248.93

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.