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Finding the Third Proportional to 184,962 and 403,139

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Solution

The third proportional to 184,962 and 403,139 is: 878,672.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,962 : 403,139 = 403,139 : x
  2. Step 2: Convert to fraction form
    184,962/403,139 = 403,139/x
  3. Step 3: Cross multiply
    184,962x = 403,139 × 403,139
  4. Step 4: Simplify right side
    184,962x = 162,521,053,321
  5. Step 5: Solve for x
    x = 162,521,053,321/184,962
  6. Step 6: Final answer
    x = 878,672.66

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.