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Finding the Third Proportional to 165,786 and 254,971

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Solution

The third proportional to 165,786 and 254,971 is: 392,133.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,786 : 254,971 = 254,971 : x
  2. Step 2: Convert to fraction form
    165,786/254,971 = 254,971/x
  3. Step 3: Cross multiply
    165,786x = 254,971 × 254,971
  4. Step 4: Simplify right side
    165,786x = 65,010,210,841
  5. Step 5: Solve for x
    x = 65,010,210,841/165,786
  6. Step 6: Final answer
    x = 392,133.30

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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.