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Finding the Third Proportional to 162,493.88 and 362,328.75

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Solution

The third proportional to 162,493.88 and 362,328.75 is: 807,920.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,493.88 : 362,328.75 = 362,328.75 : x
  2. Step 2: Convert to fraction form
    162,493.88/362,328.75 = 362,328.75/x
  3. Step 3: Cross multiply
    162,493.88x = 362,328.75 × 362,328.75
  4. Step 4: Simplify right side
    162,493.88x = 131,282,123,076.56
  5. Step 5: Solve for x
    x = 131,282,123,076.56/162,493.88
  6. Step 6: Final answer
    x = 807,920.44

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.