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Finding the Third Proportional to 184,402 and 295,755

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Solution

The third proportional to 184,402 and 295,755 is: 474,349.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,402 : 295,755 = 295,755 : x
  2. Step 2: Convert to fraction form
    184,402/295,755 = 295,755/x
  3. Step 3: Cross multiply
    184,402x = 295,755 × 295,755
  4. Step 4: Simplify right side
    184,402x = 87,471,020,025
  5. Step 5: Solve for x
    x = 87,471,020,025/184,402
  6. Step 6: Final answer
    x = 474,349.63

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.