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Finding the Third Proportional to 142,884 and 323,190

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Solution

The third proportional to 142,884 and 323,190 is: 731,025

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,884 : 323,190 = 323,190 : x
  2. Step 2: Convert to fraction form
    142,884/323,190 = 323,190/x
  3. Step 3: Cross multiply
    142,884x = 323,190 × 323,190
  4. Step 4: Simplify right side
    142,884x = 104,451,776,100
  5. Step 5: Solve for x
    x = 104,451,776,100/142,884
  6. Step 6: Final answer
    x = 731,025

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Why These Related Problems?

These problems maintain the same ratio (2.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.