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Finding the Third Proportional to 169,224 and 224,630

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Solution

The third proportional to 169,224 and 224,630 is: 298,176.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,224 : 224,630 = 224,630 : x
  2. Step 2: Convert to fraction form
    169,224/224,630 = 224,630/x
  3. Step 3: Cross multiply
    169,224x = 224,630 × 224,630
  4. Step 4: Simplify right side
    169,224x = 50,458,636,900
  5. Step 5: Solve for x
    x = 50,458,636,900/169,224
  6. Step 6: Final answer
    x = 298,176.60

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.