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Finding the Third Proportional to 162,890 and 380,593

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Solution

The third proportional to 162,890 and 380,593 is: 889,256.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,890 : 380,593 = 380,593 : x
  2. Step 2: Convert to fraction form
    162,890/380,593 = 380,593/x
  3. Step 3: Cross multiply
    162,890x = 380,593 × 380,593
  4. Step 4: Simplify right side
    162,890x = 144,851,031,649
  5. Step 5: Solve for x
    x = 144,851,031,649/162,890
  6. Step 6: Final answer
    x = 889,256.75

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.