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Finding the Third Proportional to 129,024 and 263,232

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Solution

The third proportional to 129,024 and 263,232 is: 537,040.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,024 : 263,232 = 263,232 : x
  2. Step 2: Convert to fraction form
    129,024/263,232 = 263,232/x
  3. Step 3: Cross multiply
    129,024x = 263,232 × 263,232
  4. Step 4: Simplify right side
    129,024x = 69,291,085,824
  5. Step 5: Solve for x
    x = 69,291,085,824/129,024
  6. Step 6: Final answer
    x = 537,040.29

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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.