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Finding the Third Proportional to 203,648 and 311,520

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Solution

The third proportional to 203,648 and 311,520 is: 476,531.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,648 : 311,520 = 311,520 : x
  2. Step 2: Convert to fraction form
    203,648/311,520 = 311,520/x
  3. Step 3: Cross multiply
    203,648x = 311,520 × 311,520
  4. Step 4: Simplify right side
    203,648x = 97,044,710,400
  5. Step 5: Solve for x
    x = 97,044,710,400/203,648
  6. Step 6: Final answer
    x = 476,531.62

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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.