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Finding the Third Proportional to 131,384.63 and 200,357.63

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Solution

The third proportional to 131,384.63 and 200,357.63 is: 305,539.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,384.63 : 200,357.63 = 200,357.63 : x
  2. Step 2: Convert to fraction form
    131,384.63/200,357.63 = 200,357.63/x
  3. Step 3: Cross multiply
    131,384.63x = 200,357.63 × 200,357.63
  4. Step 4: Simplify right side
    131,384.63x = 40,143,177,895.64
  5. Step 5: Solve for x
    x = 40,143,177,895.64/131,384.63
  6. Step 6: Final answer
    x = 305,539.39

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Why These Related Problems?

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