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Finding the Third Proportional to 150,038 and 354,173

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Solution

The third proportional to 150,038 and 354,173 is: 836,044.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,038 : 354,173 = 354,173 : x
  2. Step 2: Convert to fraction form
    150,038/354,173 = 354,173/x
  3. Step 3: Cross multiply
    150,038x = 354,173 × 354,173
  4. Step 4: Simplify right side
    150,038x = 125,438,513,929
  5. Step 5: Solve for x
    x = 125,438,513,929/150,038
  6. Step 6: Final answer
    x = 836,044.96

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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.