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Finding the Third Proportional to 183,508 and 258,412

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Solution

The third proportional to 183,508 and 258,412 is: 363,890.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,508 : 258,412 = 258,412 : x
  2. Step 2: Convert to fraction form
    183,508/258,412 = 258,412/x
  3. Step 3: Cross multiply
    183,508x = 258,412 × 258,412
  4. Step 4: Simplify right side
    183,508x = 66,776,761,744
  5. Step 5: Solve for x
    x = 66,776,761,744/183,508
  6. Step 6: Final answer
    x = 363,890.19

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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.