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Finding the Third Proportional to 165,633 and 254,895

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Solution

The third proportional to 165,633 and 254,895 is: 392,261.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,633 : 254,895 = 254,895 : x
  2. Step 2: Convert to fraction form
    165,633/254,895 = 254,895/x
  3. Step 3: Cross multiply
    165,633x = 254,895 × 254,895
  4. Step 4: Simplify right side
    165,633x = 64,971,461,025
  5. Step 5: Solve for x
    x = 64,971,461,025/165,633
  6. Step 6: Final answer
    x = 392,261.57

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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.