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Finding the Third Proportional to 176,039 and 380,136

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Solution

The third proportional to 176,039 and 380,136 is: 820,860.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,039 : 380,136 = 380,136 : x
  2. Step 2: Convert to fraction form
    176,039/380,136 = 380,136/x
  3. Step 3: Cross multiply
    176,039x = 380,136 × 380,136
  4. Step 4: Simplify right side
    176,039x = 144,503,378,496
  5. Step 5: Solve for x
    x = 144,503,378,496/176,039
  6. Step 6: Final answer
    x = 820,860.03

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.