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Finding the Third Proportional to 183,498.75 and 258,410.25

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Solution

The third proportional to 183,498.75 and 258,410.25 is: 363,903.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,498.75 : 258,410.25 = 258,410.25 : x
  2. Step 2: Convert to fraction form
    183,498.75/258,410.25 = 258,410.25/x
  3. Step 3: Cross multiply
    183,498.75x = 258,410.25 × 258,410.25
  4. Step 4: Simplify right side
    183,498.75x = 66,775,857,305.06
  5. Step 5: Solve for x
    x = 66,775,857,305.06/183,498.75
  6. Step 6: Final answer
    x = 363,903.61

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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.