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Finding the Third Proportional to 131,588.30 and 200,152.27

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Solution

The third proportional to 131,588.30 and 200,152.27 is: 304,441.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,588.30 : 200,152.27 = 200,152.27 : x
  2. Step 2: Convert to fraction form
    131,588.30/200,152.27 = 200,152.27/x
  3. Step 3: Cross multiply
    131,588.30x = 200,152.27 × 200,152.27
  4. Step 4: Simplify right side
    131,588.30x = 40,060,929,434.82
  5. Step 5: Solve for x
    x = 40,060,929,434.82/131,588.30
  6. Step 6: Final answer
    x = 304,441.43

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.