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Finding the Third Proportional to 184,046 and 274,969

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Solution

The third proportional to 184,046 and 274,969 is: 410,810.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,046 : 274,969 = 274,969 : x
  2. Step 2: Convert to fraction form
    184,046/274,969 = 274,969/x
  3. Step 3: Cross multiply
    184,046x = 274,969 × 274,969
  4. Step 4: Simplify right side
    184,046x = 75,607,950,961
  5. Step 5: Solve for x
    x = 75,607,950,961/184,046
  6. Step 6: Final answer
    x = 410,810.07

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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.