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Finding the Third Proportional to 165,971 and 251,465

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Solution

The third proportional to 165,971 and 251,465 is: 380,998.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,971 : 251,465 = 251,465 : x
  2. Step 2: Convert to fraction form
    165,971/251,465 = 251,465/x
  3. Step 3: Cross multiply
    165,971x = 251,465 × 251,465
  4. Step 4: Simplify right side
    165,971x = 63,234,646,225
  5. Step 5: Solve for x
    x = 63,234,646,225/165,971
  6. Step 6: Final answer
    x = 380,998.16

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.