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Finding the Third Proportional to 132,630 and 271,388

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Solution

The third proportional to 132,630 and 271,388 is: 555,315.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,630 : 271,388 = 271,388 : x
  2. Step 2: Convert to fraction form
    132,630/271,388 = 271,388/x
  3. Step 3: Cross multiply
    132,630x = 271,388 × 271,388
  4. Step 4: Simplify right side
    132,630x = 73,651,446,544
  5. Step 5: Solve for x
    x = 73,651,446,544/132,630
  6. Step 6: Final answer
    x = 555,315.14

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.