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Finding the Third Proportional to 165,769 and 254,946

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Solution

The third proportional to 165,769 and 254,946 is: 392,096.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,769 : 254,946 = 254,946 : x
  2. Step 2: Convert to fraction form
    165,769/254,946 = 254,946/x
  3. Step 3: Cross multiply
    165,769x = 254,946 × 254,946
  4. Step 4: Simplify right side
    165,769x = 64,997,462,916
  5. Step 5: Solve for x
    x = 64,997,462,916/165,769
  6. Step 6: Final answer
    x = 392,096.61

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.