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Finding the Third Proportional to 184,902 and 378,566

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Solution

The third proportional to 184,902 and 378,566 is: 775,071.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,902 : 378,566 = 378,566 : x
  2. Step 2: Convert to fraction form
    184,902/378,566 = 378,566/x
  3. Step 3: Cross multiply
    184,902x = 378,566 × 378,566
  4. Step 4: Simplify right side
    184,902x = 143,312,216,356
  5. Step 5: Solve for x
    x = 143,312,216,356/184,902
  6. Step 6: Final answer
    x = 775,071.21

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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.