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Finding the Third Proportional to 165,905 and 362,859

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Solution

The third proportional to 165,905 and 362,859 is: 793,626.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,905 : 362,859 = 362,859 : x
  2. Step 2: Convert to fraction form
    165,905/362,859 = 362,859/x
  3. Step 3: Cross multiply
    165,905x = 362,859 × 362,859
  4. Step 4: Simplify right side
    165,905x = 131,666,653,881
  5. Step 5: Solve for x
    x = 131,666,653,881/165,905
  6. Step 6: Final answer
    x = 793,626.80

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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.