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Finding the Third Proportional to 118,422 and 183,321

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Solution

The third proportional to 118,422 and 183,321 is: 283,786.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,422 : 183,321 = 183,321 : x
  2. Step 2: Convert to fraction form
    118,422/183,321 = 183,321/x
  3. Step 3: Cross multiply
    118,422x = 183,321 × 183,321
  4. Step 4: Simplify right side
    118,422x = 33,606,589,041
  5. Step 5: Solve for x
    x = 33,606,589,041/118,422
  6. Step 6: Final answer
    x = 283,786.70

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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.