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Finding the Third Proportional to 129,584 and 199,898

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Solution

The third proportional to 129,584 and 199,898 is: 308,365.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,584 : 199,898 = 199,898 : x
  2. Step 2: Convert to fraction form
    129,584/199,898 = 199,898/x
  3. Step 3: Cross multiply
    129,584x = 199,898 × 199,898
  4. Step 4: Simplify right side
    129,584x = 39,959,210,404
  5. Step 5: Solve for x
    x = 39,959,210,404/129,584
  6. Step 6: Final answer
    x = 308,365.31

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.