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Finding the Third Proportional to 132,032 and 268,722

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Solution

The third proportional to 132,032 and 268,722 is: 546,924.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,032 : 268,722 = 268,722 : x
  2. Step 2: Convert to fraction form
    132,032/268,722 = 268,722/x
  3. Step 3: Cross multiply
    132,032x = 268,722 × 268,722
  4. Step 4: Simplify right side
    132,032x = 72,211,513,284
  5. Step 5: Solve for x
    x = 72,211,513,284/132,032
  6. Step 6: Final answer
    x = 546,924.33

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.