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Finding the Third Proportional to 195,048 and 405,560

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Solution

The third proportional to 195,048 and 405,560 is: 843,274.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,048 : 405,560 = 405,560 : x
  2. Step 2: Convert to fraction form
    195,048/405,560 = 405,560/x
  3. Step 3: Cross multiply
    195,048x = 405,560 × 405,560
  4. Step 4: Simplify right side
    195,048x = 164,478,913,600
  5. Step 5: Solve for x
    x = 164,478,913,600/195,048
  6. Step 6: Final answer
    x = 843,274.03

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.