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Finding the Third Proportional to 165,435.75 and 362,373.75

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Solution

The third proportional to 165,435.75 and 362,373.75 is: 793,750.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,435.75 : 362,373.75 = 362,373.75 : x
  2. Step 2: Convert to fraction form
    165,435.75/362,373.75 = 362,373.75/x
  3. Step 3: Cross multiply
    165,435.75x = 362,373.75 × 362,373.75
  4. Step 4: Simplify right side
    165,435.75x = 131,314,734,689.06
  5. Step 5: Solve for x
    x = 131,314,734,689.06/165,435.75
  6. Step 6: Final answer
    x = 793,750.65

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.