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Finding the Third Proportional to 224,800 and 300,688

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Solution

The third proportional to 224,800 and 300,688 is: 402,194.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,800 : 300,688 = 300,688 : x
  2. Step 2: Convert to fraction form
    224,800/300,688 = 300,688/x
  3. Step 3: Cross multiply
    224,800x = 300,688 × 300,688
  4. Step 4: Simplify right side
    224,800x = 90,413,273,344
  5. Step 5: Solve for x
    x = 90,413,273,344/224,800
  6. Step 6: Final answer
    x = 402,194.28

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.