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Finding the Third Proportional to 150,071 and 354,248

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Solution

The third proportional to 150,071 and 354,248 is: 836,215.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,071 : 354,248 = 354,248 : x
  2. Step 2: Convert to fraction form
    150,071/354,248 = 354,248/x
  3. Step 3: Cross multiply
    150,071x = 354,248 × 354,248
  4. Step 4: Simplify right side
    150,071x = 125,491,645,504
  5. Step 5: Solve for x
    x = 125,491,645,504/150,071
  6. Step 6: Final answer
    x = 836,215.16

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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.