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Finding the Third Proportional to 173,620 and 380,476

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Solution

The third proportional to 173,620 and 380,476 is: 833,786.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    173,620 : 380,476 = 380,476 : x
  2. Step 2: Convert to fraction form
    173,620/380,476 = 380,476/x
  3. Step 3: Cross multiply
    173,620x = 380,476 × 380,476
  4. Step 4: Simplify right side
    173,620x = 144,761,986,576
  5. Step 5: Solve for x
    x = 144,761,986,576/173,620
  6. Step 6: Final answer
    x = 833,786.35

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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.