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Finding the Third Proportional to 80,465.25 and 171,325.50

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Solution

The third proportional to 80,465.25 and 171,325.50 is: 364,783.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,465.25 : 171,325.50 = 171,325.50 : x
  2. Step 2: Convert to fraction form
    80,465.25/171,325.50 = 171,325.50/x
  3. Step 3: Cross multiply
    80,465.25x = 171,325.50 × 171,325.50
  4. Step 4: Simplify right side
    80,465.25x = 29,352,426,950.25
  5. Step 5: Solve for x
    x = 29,352,426,950.25/80,465.25
  6. Step 6: Final answer
    x = 364,783.89

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.