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Finding the Third Proportional to 165,204 and 362,070

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Solution

The third proportional to 165,204 and 362,070 is: 793,532.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,204 : 362,070 = 362,070 : x
  2. Step 2: Convert to fraction form
    165,204/362,070 = 362,070/x
  3. Step 3: Cross multiply
    165,204x = 362,070 × 362,070
  4. Step 4: Simplify right side
    165,204x = 131,094,684,900
  5. Step 5: Solve for x
    x = 131,094,684,900/165,204
  6. Step 6: Final answer
    x = 793,532.15

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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.