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Finding the Third Proportional to 219,972 and 343,104

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Solution

The third proportional to 219,972 and 343,104 is: 535,160.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,972 : 343,104 = 343,104 : x
  2. Step 2: Convert to fraction form
    219,972/343,104 = 343,104/x
  3. Step 3: Cross multiply
    219,972x = 343,104 × 343,104
  4. Step 4: Simplify right side
    219,972x = 117,720,354,816
  5. Step 5: Solve for x
    x = 117,720,354,816/219,972
  6. Step 6: Final answer
    x = 535,160.63

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.