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Finding the Third Proportional to 183,504 and 283,609

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Solution

The third proportional to 183,504 and 283,609 is: 438,323.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,504 : 283,609 = 283,609 : x
  2. Step 2: Convert to fraction form
    183,504/283,609 = 283,609/x
  3. Step 3: Cross multiply
    183,504x = 283,609 × 283,609
  4. Step 4: Simplify right side
    183,504x = 80,434,064,881
  5. Step 5: Solve for x
    x = 80,434,064,881/183,504
  6. Step 6: Final answer
    x = 438,323.22

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.