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Finding the Third Proportional to 129,032 and 263,248

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Solution

The third proportional to 129,032 and 263,248 is: 537,072.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,032 : 263,248 = 263,248 : x
  2. Step 2: Convert to fraction form
    129,032/263,248 = 263,248/x
  3. Step 3: Cross multiply
    129,032x = 263,248 × 263,248
  4. Step 4: Simplify right side
    129,032x = 69,299,509,504
  5. Step 5: Solve for x
    x = 69,299,509,504/129,032
  6. Step 6: Final answer
    x = 537,072.27

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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.