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Finding the Third Proportional to 150,520 and 329,026

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Solution

The third proportional to 150,520 and 329,026 is: 719,227.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,520 : 329,026 = 329,026 : x
  2. Step 2: Convert to fraction form
    150,520/329,026 = 329,026/x
  3. Step 3: Cross multiply
    150,520x = 329,026 × 329,026
  4. Step 4: Simplify right side
    150,520x = 108,258,108,676
  5. Step 5: Solve for x
    x = 108,258,108,676/150,520
  6. Step 6: Final answer
    x = 719,227.40

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.