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Finding the Third Proportional to 183,543.50 and 258,475

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Solution

The third proportional to 183,543.50 and 258,475 is: 363,997.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,543.50 : 258,475 = 258,475 : x
  2. Step 2: Convert to fraction form
    183,543.50/258,475 = 258,475/x
  3. Step 3: Cross multiply
    183,543.50x = 258,475 × 258,475
  4. Step 4: Simplify right side
    183,543.50x = 66,809,325,625
  5. Step 5: Solve for x
    x = 66,809,325,625/183,543.50
  6. Step 6: Final answer
    x = 363,997.23

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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.