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Finding the Third Proportional to 146,696 and 220,368

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Solution

The third proportional to 146,696 and 220,368 is: 331,038.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,696 : 220,368 = 220,368 : x
  2. Step 2: Convert to fraction form
    146,696/220,368 = 220,368/x
  3. Step 3: Cross multiply
    146,696x = 220,368 × 220,368
  4. Step 4: Simplify right side
    146,696x = 48,562,055,424
  5. Step 5: Solve for x
    x = 48,562,055,424/146,696
  6. Step 6: Final answer
    x = 331,038.72

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.