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Finding the Third Proportional to 165,090 and 273,146

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Solution

The third proportional to 165,090 and 273,146 is: 451,927.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,090 : 273,146 = 273,146 : x
  2. Step 2: Convert to fraction form
    165,090/273,146 = 273,146/x
  3. Step 3: Cross multiply
    165,090x = 273,146 × 273,146
  4. Step 4: Simplify right side
    165,090x = 74,608,737,316
  5. Step 5: Solve for x
    x = 74,608,737,316/165,090
  6. Step 6: Final answer
    x = 451,927.66

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Why These Related Problems?

These problems maintain the same ratio (1.65) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.