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Finding the Third Proportional to 136,191.38 and 295,346.25

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Solution

The third proportional to 136,191.38 and 295,346.25 is: 640,491.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,191.38 : 295,346.25 = 295,346.25 : x
  2. Step 2: Convert to fraction form
    136,191.38/295,346.25 = 295,346.25/x
  3. Step 3: Cross multiply
    136,191.38x = 295,346.25 × 295,346.25
  4. Step 4: Simplify right side
    136,191.38x = 87,229,407,389.06
  5. Step 5: Solve for x
    x = 87,229,407,389.06/136,191.38
  6. Step 6: Final answer
    x = 640,491.42

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.