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Finding the Third Proportional to 132,024 and 311,354

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Solution

The third proportional to 132,024 and 311,354 is: 734,270.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,024 : 311,354 = 311,354 : x
  2. Step 2: Convert to fraction form
    132,024/311,354 = 311,354/x
  3. Step 3: Cross multiply
    132,024x = 311,354 × 311,354
  4. Step 4: Simplify right side
    132,024x = 96,941,313,316
  5. Step 5: Solve for x
    x = 96,941,313,316/132,024
  6. Step 6: Final answer
    x = 734,270.39

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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.