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Finding the Third Proportional to 184,522 and 270,222

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Solution

The third proportional to 184,522 and 270,222 is: 395,724.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,522 : 270,222 = 270,222 : x
  2. Step 2: Convert to fraction form
    184,522/270,222 = 270,222/x
  3. Step 3: Cross multiply
    184,522x = 270,222 × 270,222
  4. Step 4: Simplify right side
    184,522x = 73,019,929,284
  5. Step 5: Solve for x
    x = 73,019,929,284/184,522
  6. Step 6: Final answer
    x = 395,724.79

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.