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Finding the Third Proportional to 128,604 and 263,464

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Solution

The third proportional to 128,604 and 263,464 is: 539,744.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,604 : 263,464 = 263,464 : x
  2. Step 2: Convert to fraction form
    128,604/263,464 = 263,464/x
  3. Step 3: Cross multiply
    128,604x = 263,464 × 263,464
  4. Step 4: Simplify right side
    128,604x = 69,413,279,296
  5. Step 5: Solve for x
    x = 69,413,279,296/128,604
  6. Step 6: Final answer
    x = 539,744.33

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.