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Finding the Third Proportional to 224,199 and 327,676.50

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Solution

The third proportional to 224,199 and 327,676.50 is: 478,913.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,199 : 327,676.50 = 327,676.50 : x
  2. Step 2: Convert to fraction form
    224,199/327,676.50 = 327,676.50/x
  3. Step 3: Cross multiply
    224,199x = 327,676.50 × 327,676.50
  4. Step 4: Simplify right side
    224,199x = 107,371,888,652.25
  5. Step 5: Solve for x
    x = 107,371,888,652.25/224,199
  6. Step 6: Final answer
    x = 478,913.33

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.