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Finding the Third Proportional to 84,695.50 and 178,787

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Solution

The third proportional to 84,695.50 and 178,787 is: 377,408.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,695.50 : 178,787 = 178,787 : x
  2. Step 2: Convert to fraction form
    84,695.50/178,787 = 178,787/x
  3. Step 3: Cross multiply
    84,695.50x = 178,787 × 178,787
  4. Step 4: Simplify right side
    84,695.50x = 31,964,791,369
  5. Step 5: Solve for x
    x = 31,964,791,369/84,695.50
  6. Step 6: Final answer
    x = 377,408.38

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.