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Finding the Third Proportional to 219,972.75 and 343,105.13

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Solution

The third proportional to 219,972.75 and 343,105.13 is: 535,162.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,972.75 : 343,105.13 = 343,105.13 : x
  2. Step 2: Convert to fraction form
    219,972.75/343,105.13 = 343,105.13/x
  3. Step 3: Cross multiply
    219,972.75x = 343,105.13 × 343,105.13
  4. Step 4: Simplify right side
    219,972.75x = 117,721,126,801.27
  5. Step 5: Solve for x
    x = 117,721,126,801.27/219,972.75
  6. Step 6: Final answer
    x = 535,162.32

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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.