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Finding the Third Proportional to 184,088 and 273,540

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Solution

The third proportional to 184,088 and 273,540 is: 406,458.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,088 : 273,540 = 273,540 : x
  2. Step 2: Convert to fraction form
    184,088/273,540 = 273,540/x
  3. Step 3: Cross multiply
    184,088x = 273,540 × 273,540
  4. Step 4: Simplify right side
    184,088x = 74,824,131,600
  5. Step 5: Solve for x
    x = 74,824,131,600/184,088
  6. Step 6: Final answer
    x = 406,458.50

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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.