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Finding the Third Proportional to 165,300.75 and 262,257.75

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Solution

The third proportional to 165,300.75 and 262,257.75 is: 416,084.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,300.75 : 262,257.75 = 262,257.75 : x
  2. Step 2: Convert to fraction form
    165,300.75/262,257.75 = 262,257.75/x
  3. Step 3: Cross multiply
    165,300.75x = 262,257.75 × 262,257.75
  4. Step 4: Simplify right side
    165,300.75x = 68,779,127,435.06
  5. Step 5: Solve for x
    x = 68,779,127,435.06/165,300.75
  6. Step 6: Final answer
    x = 416,084.79

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.