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Finding the Third Proportional to 124,424 and 269,584

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Solution

The third proportional to 124,424 and 269,584 is: 584,095.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,424 : 269,584 = 269,584 : x
  2. Step 2: Convert to fraction form
    124,424/269,584 = 269,584/x
  3. Step 3: Cross multiply
    124,424x = 269,584 × 269,584
  4. Step 4: Simplify right side
    124,424x = 72,675,533,056
  5. Step 5: Solve for x
    x = 72,675,533,056/124,424
  6. Step 6: Final answer
    x = 584,095.78

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.