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Finding the Third Proportional to 104,307 and 224,338.50

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Solution

The third proportional to 104,307 and 224,338.50 is: 482,496.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,307 : 224,338.50 = 224,338.50 : x
  2. Step 2: Convert to fraction form
    104,307/224,338.50 = 224,338.50/x
  3. Step 3: Cross multiply
    104,307x = 224,338.50 × 224,338.50
  4. Step 4: Simplify right side
    104,307x = 50,327,762,582.25
  5. Step 5: Solve for x
    x = 50,327,762,582.25/104,307
  6. Step 6: Final answer
    x = 482,496.50

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.