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Finding the Third Proportional to 128,559 and 263,382

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Solution

The third proportional to 128,559 and 263,382 is: 539,597.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,559 : 263,382 = 263,382 : x
  2. Step 2: Convert to fraction form
    128,559/263,382 = 263,382/x
  3. Step 3: Cross multiply
    128,559x = 263,382 × 263,382
  4. Step 4: Simplify right side
    128,559x = 69,370,077,924
  5. Step 5: Solve for x
    x = 69,370,077,924/128,559
  6. Step 6: Final answer
    x = 539,597.21

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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.