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Finding the Third Proportional to 184,300 and 403,226

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Solution

The third proportional to 184,300 and 403,226 is: 882,209.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,300 : 403,226 = 403,226 : x
  2. Step 2: Convert to fraction form
    184,300/403,226 = 403,226/x
  3. Step 3: Cross multiply
    184,300x = 403,226 × 403,226
  4. Step 4: Simplify right side
    184,300x = 162,591,207,076
  5. Step 5: Solve for x
    x = 162,591,207,076/184,300
  6. Step 6: Final answer
    x = 882,209.48

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.