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Finding the Third Proportional to 150,038 and 325,832

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Solution

The third proportional to 150,038 and 325,832 is: 707,597.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,038 : 325,832 = 325,832 : x
  2. Step 2: Convert to fraction form
    150,038/325,832 = 325,832/x
  3. Step 3: Cross multiply
    150,038x = 325,832 × 325,832
  4. Step 4: Simplify right side
    150,038x = 106,166,492,224
  5. Step 5: Solve for x
    x = 106,166,492,224/150,038
  6. Step 6: Final answer
    x = 707,597.36

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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.