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Finding the Third Proportional to 183,674 and 402,238

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Solution

The third proportional to 183,674 and 402,238 is: 880,883.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,674 : 402,238 = 402,238 : x
  2. Step 2: Convert to fraction form
    183,674/402,238 = 402,238/x
  3. Step 3: Cross multiply
    183,674x = 402,238 × 402,238
  4. Step 4: Simplify right side
    183,674x = 161,795,408,644
  5. Step 5: Solve for x
    x = 161,795,408,644/183,674
  6. Step 6: Final answer
    x = 880,883.57

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.