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Finding the Third Proportional to 145,296 and 311,328

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Solution

The third proportional to 145,296 and 311,328 is: 667,087.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,296 : 311,328 = 311,328 : x
  2. Step 2: Convert to fraction form
    145,296/311,328 = 311,328/x
  3. Step 3: Cross multiply
    145,296x = 311,328 × 311,328
  4. Step 4: Simplify right side
    145,296x = 96,925,123,584
  5. Step 5: Solve for x
    x = 96,925,123,584/145,296
  6. Step 6: Final answer
    x = 667,087.35

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.