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Finding the Third Proportional to 184,887 and 378,522

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Solution

The third proportional to 184,887 and 378,522 is: 774,953.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,887 : 378,522 = 378,522 : x
  2. Step 2: Convert to fraction form
    184,887/378,522 = 378,522/x
  3. Step 3: Cross multiply
    184,887x = 378,522 × 378,522
  4. Step 4: Simplify right side
    184,887x = 143,278,904,484
  5. Step 5: Solve for x
    x = 143,278,904,484/184,887
  6. Step 6: Final answer
    x = 774,953.92

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.