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Finding the Third Proportional to 183,584 and 258,531

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Solution

The third proportional to 183,584 and 258,531 is: 364,074.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,584 : 258,531 = 258,531 : x
  2. Step 2: Convert to fraction form
    183,584/258,531 = 258,531/x
  3. Step 3: Cross multiply
    183,584x = 258,531 × 258,531
  4. Step 4: Simplify right side
    183,584x = 66,838,277,961
  5. Step 5: Solve for x
    x = 66,838,277,961/183,584
  6. Step 6: Final answer
    x = 364,074.64

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.