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Finding the Third Proportional to 203,106 and 316,228

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Solution

The third proportional to 203,106 and 316,228 is: 492,354.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,106 : 316,228 = 316,228 : x
  2. Step 2: Convert to fraction form
    203,106/316,228 = 316,228/x
  3. Step 3: Cross multiply
    203,106x = 316,228 × 316,228
  4. Step 4: Simplify right side
    203,106x = 100,000,147,984
  5. Step 5: Solve for x
    x = 100,000,147,984/203,106
  6. Step 6: Final answer
    x = 492,354.47

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.