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Finding the Third Proportional to 150,889.50 and 325,491

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Solution

The third proportional to 150,889.50 and 325,491 is: 702,132.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,889.50 : 325,491 = 325,491 : x
  2. Step 2: Convert to fraction form
    150,889.50/325,491 = 325,491/x
  3. Step 3: Cross multiply
    150,889.50x = 325,491 × 325,491
  4. Step 4: Simplify right side
    150,889.50x = 105,944,391,081
  5. Step 5: Solve for x
    x = 105,944,391,081/150,889.50
  6. Step 6: Final answer
    x = 702,132.30

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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.