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Finding the Third Proportional to 165,266 and 362,164

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Solution

The third proportional to 165,266 and 362,164 is: 793,646.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,266 : 362,164 = 362,164 : x
  2. Step 2: Convert to fraction form
    165,266/362,164 = 362,164/x
  3. Step 3: Cross multiply
    165,266x = 362,164 × 362,164
  4. Step 4: Simplify right side
    165,266x = 131,162,762,896
  5. Step 5: Solve for x
    x = 131,162,762,896/165,266
  6. Step 6: Final answer
    x = 793,646.38

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.