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Finding the Third Proportional to 183,600 and 402,144

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Solution

The third proportional to 183,600 and 402,144 is: 880,826.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,600 : 402,144 = 402,144 : x
  2. Step 2: Convert to fraction form
    183,600/402,144 = 402,144/x
  3. Step 3: Cross multiply
    183,600x = 402,144 × 402,144
  4. Step 4: Simplify right side
    183,600x = 161,719,796,736
  5. Step 5: Solve for x
    x = 161,719,796,736/183,600
  6. Step 6: Final answer
    x = 880,826.78

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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.