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Finding the Third Proportional to 162,333 and 355,799

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Solution

The third proportional to 162,333 and 355,799 is: 779,834.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,333 : 355,799 = 355,799 : x
  2. Step 2: Convert to fraction form
    162,333/355,799 = 355,799/x
  3. Step 3: Cross multiply
    162,333x = 355,799 × 355,799
  4. Step 4: Simplify right side
    162,333x = 126,592,928,401
  5. Step 5: Solve for x
    x = 126,592,928,401/162,333
  6. Step 6: Final answer
    x = 779,834.84

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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.