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Finding the Third Proportional to 184,357.50 and 252,306

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Solution

The third proportional to 184,357.50 and 252,306 is: 345,298.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,357.50 : 252,306 = 252,306 : x
  2. Step 2: Convert to fraction form
    184,357.50/252,306 = 252,306/x
  3. Step 3: Cross multiply
    184,357.50x = 252,306 × 252,306
  4. Step 4: Simplify right side
    184,357.50x = 63,658,317,636
  5. Step 5: Solve for x
    x = 63,658,317,636/184,357.50
  6. Step 6: Final answer
    x = 345,298.23

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.