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Finding the Third Proportional to 103,144 and 226,200

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Solution

The third proportional to 103,144 and 226,200 is: 496,068.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,144 : 226,200 = 226,200 : x
  2. Step 2: Convert to fraction form
    103,144/226,200 = 226,200/x
  3. Step 3: Cross multiply
    103,144x = 226,200 × 226,200
  4. Step 4: Simplify right side
    103,144x = 51,166,440,000
  5. Step 5: Solve for x
    x = 51,166,440,000/103,144
  6. Step 6: Final answer
    x = 496,068.02

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.