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Finding the Third Proportional to 131,384.25 and 200,356.88

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Solution

The third proportional to 131,384.25 and 200,356.88 is: 305,537.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,384.25 : 200,356.88 = 200,356.88 : x
  2. Step 2: Convert to fraction form
    131,384.25/200,356.88 = 200,356.88/x
  3. Step 3: Cross multiply
    131,384.25x = 200,356.88 × 200,356.88
  4. Step 4: Simplify right side
    131,384.25x = 40,142,877,359.77
  5. Step 5: Solve for x
    x = 40,142,877,359.77/131,384.25
  6. Step 6: Final answer
    x = 305,537.97

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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.