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Finding the Third Proportional to 154,726 and 329,684

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Solution

The third proportional to 154,726 and 329,684 is: 702,477.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,726 : 329,684 = 329,684 : x
  2. Step 2: Convert to fraction form
    154,726/329,684 = 329,684/x
  3. Step 3: Cross multiply
    154,726x = 329,684 × 329,684
  4. Step 4: Simplify right side
    154,726x = 108,691,539,856
  5. Step 5: Solve for x
    x = 108,691,539,856/154,726
  6. Step 6: Final answer
    x = 702,477.54

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.