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Finding the Third Proportional to 184,359 and 252,307.50

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Solution

The third proportional to 184,359 and 252,307.50 is: 345,299.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,359 : 252,307.50 = 252,307.50 : x
  2. Step 2: Convert to fraction form
    184,359/252,307.50 = 252,307.50/x
  3. Step 3: Cross multiply
    184,359x = 252,307.50 × 252,307.50
  4. Step 4: Simplify right side
    184,359x = 63,659,074,556.25
  5. Step 5: Solve for x
    x = 63,659,074,556.25/184,359
  6. Step 6: Final answer
    x = 345,299.52

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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.