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Finding the Third Proportional to 183,500 and 258,410

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Solution

The third proportional to 183,500 and 258,410 is: 363,900.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,500 : 258,410 = 258,410 : x
  2. Step 2: Convert to fraction form
    183,500/258,410 = 258,410/x
  3. Step 3: Cross multiply
    183,500x = 258,410 × 258,410
  4. Step 4: Simplify right side
    183,500x = 66,775,728,100
  5. Step 5: Solve for x
    x = 66,775,728,100/183,500
  6. Step 6: Final answer
    x = 363,900.43

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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.