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Finding the Third Proportional to 174,846.94 and 206,781.19

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Solution

The third proportional to 174,846.94 and 206,781.19 is: 244,547.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,846.94 : 206,781.19 = 206,781.19 : x
  2. Step 2: Convert to fraction form
    174,846.94/206,781.19 = 206,781.19/x
  3. Step 3: Cross multiply
    174,846.94x = 206,781.19 × 206,781.19
  4. Step 4: Simplify right side
    174,846.94x = 42,758,459,503.91
  5. Step 5: Solve for x
    x = 42,758,459,503.91/174,846.94
  6. Step 6: Final answer
    x = 244,547.95

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These problems maintain the same ratio (1.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.