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Finding the Third Proportional to 225,014 and 316,467

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Solution

The third proportional to 225,014 and 316,467 is: 445,089.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,014 : 316,467 = 316,467 : x
  2. Step 2: Convert to fraction form
    225,014/316,467 = 316,467/x
  3. Step 3: Cross multiply
    225,014x = 316,467 × 316,467
  4. Step 4: Simplify right side
    225,014x = 100,151,362,089
  5. Step 5: Solve for x
    x = 100,151,362,089/225,014
  6. Step 6: Final answer
    x = 445,089.47

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.