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Finding the Third Proportional to 132,520 and 264,932

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Solution

The third proportional to 132,520 and 264,932 is: 529,648.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,520 : 264,932 = 264,932 : x
  2. Step 2: Convert to fraction form
    132,520/264,932 = 264,932/x
  3. Step 3: Cross multiply
    132,520x = 264,932 × 264,932
  4. Step 4: Simplify right side
    132,520x = 70,188,964,624
  5. Step 5: Solve for x
    x = 70,188,964,624/132,520
  6. Step 6: Final answer
    x = 529,648.09

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Why These Related Problems?

These problems maintain the same ratio (2.00) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.