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Finding the Third Proportional to 132,814 and 205,647

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Solution

The third proportional to 132,814 and 205,647 is: 318,420.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,814 : 205,647 = 205,647 : x
  2. Step 2: Convert to fraction form
    132,814/205,647 = 205,647/x
  3. Step 3: Cross multiply
    132,814x = 205,647 × 205,647
  4. Step 4: Simplify right side
    132,814x = 42,290,688,609
  5. Step 5: Solve for x
    x = 42,290,688,609/132,814
  6. Step 6: Final answer
    x = 318,420.41

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.