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Finding the Third Proportional to 163,868 and 224,264

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Solution

The third proportional to 163,868 and 224,264 is: 306,919.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,868 : 224,264 = 224,264 : x
  2. Step 2: Convert to fraction form
    163,868/224,264 = 224,264/x
  3. Step 3: Cross multiply
    163,868x = 224,264 × 224,264
  4. Step 4: Simplify right side
    163,868x = 50,294,341,696
  5. Step 5: Solve for x
    x = 50,294,341,696/163,868
  6. Step 6: Final answer
    x = 306,919.85

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.