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Finding the Third Proportional to 141,747 and 228,390

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Solution

The third proportional to 141,747 and 228,390 is: 367,993.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,747 : 228,390 = 228,390 : x
  2. Step 2: Convert to fraction form
    141,747/228,390 = 228,390/x
  3. Step 3: Cross multiply
    141,747x = 228,390 × 228,390
  4. Step 4: Simplify right side
    141,747x = 52,161,992,100
  5. Step 5: Solve for x
    x = 52,161,992,100/141,747
  6. Step 6: Final answer
    x = 367,993.62

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.