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Finding the Third Proportional to 127,584 and 263,430

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Solution

The third proportional to 127,584 and 263,430 is: 543,919.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,584 : 263,430 = 263,430 : x
  2. Step 2: Convert to fraction form
    127,584/263,430 = 263,430/x
  3. Step 3: Cross multiply
    127,584x = 263,430 × 263,430
  4. Step 4: Simplify right side
    127,584x = 69,395,364,900
  5. Step 5: Solve for x
    x = 69,395,364,900/127,584
  6. Step 6: Final answer
    x = 543,919.03

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.