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Finding the Third Proportional to 123,508 and 255,752

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Solution

The third proportional to 123,508 and 255,752 is: 529,593.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,508 : 255,752 = 255,752 : x
  2. Step 2: Convert to fraction form
    123,508/255,752 = 255,752/x
  3. Step 3: Cross multiply
    123,508x = 255,752 × 255,752
  4. Step 4: Simplify right side
    123,508x = 65,409,085,504
  5. Step 5: Solve for x
    x = 65,409,085,504/123,508
  6. Step 6: Final answer
    x = 529,593.92

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.