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Finding the Third Proportional to 132,082 and 311,536

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Solution

The third proportional to 132,082 and 311,536 is: 734,806.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,082 : 311,536 = 311,536 : x
  2. Step 2: Convert to fraction form
    132,082/311,536 = 311,536/x
  3. Step 3: Cross multiply
    132,082x = 311,536 × 311,536
  4. Step 4: Simplify right side
    132,082x = 97,054,679,296
  5. Step 5: Solve for x
    x = 97,054,679,296/132,082
  6. Step 6: Final answer
    x = 734,806.25

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.