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Finding the Third Proportional to 133,401.75 and 203,491.13

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Solution

The third proportional to 133,401.75 and 203,491.13 is: 310,405.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,401.75 : 203,491.13 = 203,491.13 : x
  2. Step 2: Convert to fraction form
    133,401.75/203,491.13 = 203,491.13/x
  3. Step 3: Cross multiply
    133,401.75x = 203,491.13 × 203,491.13
  4. Step 4: Simplify right side
    133,401.75x = 41,408,637,953.77
  5. Step 5: Solve for x
    x = 41,408,637,953.77/133,401.75
  6. Step 6: Final answer
    x = 310,405.51

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.