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Finding the Third Proportional to 131,530 and 285,192.50

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Solution

The third proportional to 131,530 and 285,192.50 is: 618,374.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,530 : 285,192.50 = 285,192.50 : x
  2. Step 2: Convert to fraction form
    131,530/285,192.50 = 285,192.50/x
  3. Step 3: Cross multiply
    131,530x = 285,192.50 × 285,192.50
  4. Step 4: Simplify right side
    131,530x = 81,334,762,056.25
  5. Step 5: Solve for x
    x = 81,334,762,056.25/131,530
  6. Step 6: Final answer
    x = 618,374.23

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.