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Finding the Third Proportional to 165,431.25 and 362,368.13

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Solution

The third proportional to 165,431.25 and 362,368.13 is: 793,747.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,431.25 : 362,368.13 = 362,368.13 : x
  2. Step 2: Convert to fraction form
    165,431.25/362,368.13 = 362,368.13/x
  3. Step 3: Cross multiply
    165,431.25x = 362,368.13 × 362,368.13
  4. Step 4: Simplify right side
    165,431.25x = 131,310,658,016.02
  5. Step 5: Solve for x
    x = 131,310,658,016.02/165,431.25
  6. Step 6: Final answer
    x = 793,747.60

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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.