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Finding the Third Proportional to 173,496.94 and 380,208.94

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Solution

The third proportional to 173,496.94 and 380,208.94 is: 833,206.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    173,496.94 : 380,208.94 = 380,208.94 : x
  2. Step 2: Convert to fraction form
    173,496.94/380,208.94 = 380,208.94/x
  3. Step 3: Cross multiply
    173,496.94x = 380,208.94 × 380,208.94
  4. Step 4: Simplify right side
    173,496.94x = 144,558,836,154.88
  5. Step 5: Solve for x
    x = 144,558,836,154.88/173,496.94
  6. Step 6: Final answer
    x = 833,206.85

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.