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Finding the Third Proportional to 162,229.50 and 346,878

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Solution

The third proportional to 162,229.50 and 346,878 is: 741,692.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,229.50 : 346,878 = 346,878 : x
  2. Step 2: Convert to fraction form
    162,229.50/346,878 = 346,878/x
  3. Step 3: Cross multiply
    162,229.50x = 346,878 × 346,878
  4. Step 4: Simplify right side
    162,229.50x = 120,324,346,884
  5. Step 5: Solve for x
    x = 120,324,346,884/162,229.50
  6. Step 6: Final answer
    x = 741,692.15

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.