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Finding the Third Proportional to 184,196 and 275,155

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Solution

The third proportional to 184,196 and 275,155 is: 411,031.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,196 : 275,155 = 275,155 : x
  2. Step 2: Convert to fraction form
    184,196/275,155 = 275,155/x
  3. Step 3: Cross multiply
    184,196x = 275,155 × 275,155
  4. Step 4: Simplify right side
    184,196x = 75,710,274,025
  5. Step 5: Solve for x
    x = 75,710,274,025/184,196
  6. Step 6: Final answer
    x = 411,031.04

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.