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Finding the Third Proportional to 211,290.19 and 327,187.69

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Solution

The third proportional to 211,290.19 and 327,187.69 is: 506,657.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,290.19 : 327,187.69 = 327,187.69 : x
  2. Step 2: Convert to fraction form
    211,290.19/327,187.69 = 327,187.69/x
  3. Step 3: Cross multiply
    211,290.19x = 327,187.69 × 327,187.69
  4. Step 4: Simplify right side
    211,290.19x = 107,051,782,851.60
  5. Step 5: Solve for x
    x = 107,051,782,851.60/211,290.19
  6. Step 6: Final answer
    x = 506,657.62

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.