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Finding the Third Proportional to 171,802.69 and 370,225.69

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Solution

The third proportional to 171,802.69 and 370,225.69 is: 797,816.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,802.69 : 370,225.69 = 370,225.69 : x
  2. Step 2: Convert to fraction form
    171,802.69/370,225.69 = 370,225.69/x
  3. Step 3: Cross multiply
    171,802.69x = 370,225.69 × 370,225.69
  4. Step 4: Simplify right side
    171,802.69x = 137,067,059,684.85
  5. Step 5: Solve for x
    x = 137,067,059,684.85/171,802.69
  6. Step 6: Final answer
    x = 797,816.74

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.