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Finding the Third Proportional to 165,895.13 and 362,837.63

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Solution

The third proportional to 165,895.13 and 362,837.63 is: 793,580.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,895.13 : 362,837.63 = 362,837.63 : x
  2. Step 2: Convert to fraction form
    165,895.13/362,837.63 = 362,837.63/x
  3. Step 3: Cross multiply
    165,895.13x = 362,837.63 × 362,837.63
  4. Step 4: Simplify right side
    165,895.13x = 131,651,142,115.64
  5. Step 5: Solve for x
    x = 131,651,142,115.64/165,895.13
  6. Step 6: Final answer
    x = 793,580.54

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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.