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Finding the Third Proportional to 155,461.15 and 329,604.82

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Solution

The third proportional to 155,461.15 and 329,604.82 is: 698,819.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,461.15 : 329,604.82 = 329,604.82 : x
  2. Step 2: Convert to fraction form
    155,461.15/329,604.82 = 329,604.82/x
  3. Step 3: Cross multiply
    155,461.15x = 329,604.82 × 329,604.82
  4. Step 4: Simplify right side
    155,461.15x = 108,639,337,573.24
  5. Step 5: Solve for x
    x = 108,639,337,573.24/155,461.15
  6. Step 6: Final answer
    x = 698,819.86

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.