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Finding the Third Proportional to 69,405 and 150,465

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Solution

The third proportional to 69,405 and 150,465 is: 326,197.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,405 : 150,465 = 150,465 : x
  2. Step 2: Convert to fraction form
    69,405/150,465 = 150,465/x
  3. Step 3: Cross multiply
    69,405x = 150,465 × 150,465
  4. Step 4: Simplify right side
    69,405x = 22,639,716,225
  5. Step 5: Solve for x
    x = 22,639,716,225/69,405
  6. Step 6: Final answer
    x = 326,197.19

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.