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Finding the Third Proportional to 135,454 and 311,526

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Solution

The third proportional to 135,454 and 311,526 is: 716,467.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,454 : 311,526 = 311,526 : x
  2. Step 2: Convert to fraction form
    135,454/311,526 = 311,526/x
  3. Step 3: Cross multiply
    135,454x = 311,526 × 311,526
  4. Step 4: Simplify right side
    135,454x = 97,048,448,676
  5. Step 5: Solve for x
    x = 97,048,448,676/135,454
  6. Step 6: Final answer
    x = 716,467.94

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Why These Related Problems?

These problems maintain the same ratio (2.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.