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Finding the Third Proportional to 183,504 and 258,416

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Solution

The third proportional to 183,504 and 258,416 is: 363,909.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,504 : 258,416 = 258,416 : x
  2. Step 2: Convert to fraction form
    183,504/258,416 = 258,416/x
  3. Step 3: Cross multiply
    183,504x = 258,416 × 258,416
  4. Step 4: Simplify right side
    183,504x = 66,778,829,056
  5. Step 5: Solve for x
    x = 66,778,829,056/183,504
  6. Step 6: Final answer
    x = 363,909.39

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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.