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Finding the Third Proportional to 215,392 and 308,318

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Solution

The third proportional to 215,392 and 308,318 is: 441,334.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,392 : 308,318 = 308,318 : x
  2. Step 2: Convert to fraction form
    215,392/308,318 = 308,318/x
  3. Step 3: Cross multiply
    215,392x = 308,318 × 308,318
  4. Step 4: Simplify right side
    215,392x = 95,059,989,124
  5. Step 5: Solve for x
    x = 95,059,989,124/215,392
  6. Step 6: Final answer
    x = 441,334.82

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.