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Finding the Third Proportional to 165,537 and 256,268.81

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Solution

The third proportional to 165,537 and 256,268.81 is: 396,731.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,537 : 256,268.81 = 256,268.81 : x
  2. Step 2: Convert to fraction form
    165,537/256,268.81 = 256,268.81/x
  3. Step 3: Cross multiply
    165,537x = 256,268.81 × 256,268.81
  4. Step 4: Simplify right side
    165,537x = 65,673,704,260.16
  5. Step 5: Solve for x
    x = 65,673,704,260.16/165,537
  6. Step 6: Final answer
    x = 396,731.27

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.