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Finding the Third Proportional to 137,917.69 and 213,574.22

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Solution

The third proportional to 137,917.69 and 213,574.22 is: 330,733.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,917.69 : 213,574.22 = 213,574.22 : x
  2. Step 2: Convert to fraction form
    137,917.69/213,574.22 = 213,574.22/x
  3. Step 3: Cross multiply
    137,917.69x = 213,574.22 × 213,574.22
  4. Step 4: Simplify right side
    137,917.69x = 45,613,946,914.67
  5. Step 5: Solve for x
    x = 45,613,946,914.67/137,917.69
  6. Step 6: Final answer
    x = 330,733.12

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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.