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Finding the Third Proportional to 148,348 and 329,956

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Solution

The third proportional to 148,348 and 329,956 is: 733,888.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,348 : 329,956 = 329,956 : x
  2. Step 2: Convert to fraction form
    148,348/329,956 = 329,956/x
  3. Step 3: Cross multiply
    148,348x = 329,956 × 329,956
  4. Step 4: Simplify right side
    148,348x = 108,870,961,936
  5. Step 5: Solve for x
    x = 108,870,961,936/148,348
  6. Step 6: Final answer
    x = 733,888.98

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These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.