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Finding the Third Proportional to 250,351 and 384,274

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Solution

The third proportional to 250,351 and 384,274 is: 589,837.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    250,351 : 384,274 = 384,274 : x
  2. Step 2: Convert to fraction form
    250,351/384,274 = 384,274/x
  3. Step 3: Cross multiply
    250,351x = 384,274 × 384,274
  4. Step 4: Simplify right side
    250,351x = 147,666,507,076
  5. Step 5: Solve for x
    x = 147,666,507,076/250,351
  6. Step 6: Final answer
    x = 589,837.90

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.