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Finding the Third Proportional to 201,142.41 and 303,763.92

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Solution

The third proportional to 201,142.41 and 303,763.92 is: 458,742.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,142.41 : 303,763.92 = 303,763.92 : x
  2. Step 2: Convert to fraction form
    201,142.41/303,763.92 = 303,763.92/x
  3. Step 3: Cross multiply
    201,142.41x = 303,763.92 × 303,763.92
  4. Step 4: Simplify right side
    201,142.41x = 92,272,520,232.88
  5. Step 5: Solve for x
    x = 92,272,520,232.88/201,142.41
  6. Step 6: Final answer
    x = 458,742.25

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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.