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Finding the Third Proportional to 133,046.30 and 200,953.41

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Solution

The third proportional to 133,046.30 and 200,953.41 is: 303,520.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,046.30 : 200,953.41 = 200,953.41 : x
  2. Step 2: Convert to fraction form
    133,046.30/200,953.41 = 200,953.41/x
  3. Step 3: Cross multiply
    133,046.30x = 200,953.41 × 200,953.41
  4. Step 4: Simplify right side
    133,046.30x = 40,382,271,483.48
  5. Step 5: Solve for x
    x = 40,382,271,483.48/133,046.30
  6. Step 6: Final answer
    x = 303,520.45

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.