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Finding the Third Proportional to 146,976 and 318,368

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Solution

The third proportional to 146,976 and 318,368 is: 689,624.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,976 : 318,368 = 318,368 : x
  2. Step 2: Convert to fraction form
    146,976/318,368 = 318,368/x
  3. Step 3: Cross multiply
    146,976x = 318,368 × 318,368
  4. Step 4: Simplify right side
    146,976x = 101,358,183,424
  5. Step 5: Solve for x
    x = 101,358,183,424/146,976
  6. Step 6: Final answer
    x = 689,624.04

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.