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Finding the Third Proportional to 149,538 and 224,307

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Solution

The third proportional to 149,538 and 224,307 is: 336,460.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,538 : 224,307 = 224,307 : x
  2. Step 2: Convert to fraction form
    149,538/224,307 = 224,307/x
  3. Step 3: Cross multiply
    149,538x = 224,307 × 224,307
  4. Step 4: Simplify right side
    149,538x = 50,313,630,249
  5. Step 5: Solve for x
    x = 50,313,630,249/149,538
  6. Step 6: Final answer
    x = 336,460.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.