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Finding the Third Proportional to 168,186 and 252,987.75

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Solution

The third proportional to 168,186 and 252,987.75 is: 380,547.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    168,186 : 252,987.75 = 252,987.75 : x
  2. Step 2: Convert to fraction form
    168,186/252,987.75 = 252,987.75/x
  3. Step 3: Cross multiply
    168,186x = 252,987.75 × 252,987.75
  4. Step 4: Simplify right side
    168,186x = 64,002,801,650.06
  5. Step 5: Solve for x
    x = 64,002,801,650.06/168,186
  6. Step 6: Final answer
    x = 380,547.74

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.