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Finding the Third Proportional to 150,406 and 325,354

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Solution

The third proportional to 150,406 and 325,354 is: 703,796.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,406 : 325,354 = 325,354 : x
  2. Step 2: Convert to fraction form
    150,406/325,354 = 325,354/x
  3. Step 3: Cross multiply
    150,406x = 325,354 × 325,354
  4. Step 4: Simplify right side
    150,406x = 105,855,225,316
  5. Step 5: Solve for x
    x = 105,855,225,316/150,406
  6. Step 6: Final answer
    x = 703,796.56

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.