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Finding the Third Proportional to 124,807 and 269,296

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Solution

The third proportional to 124,807 and 269,296 is: 581,059.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,807 : 269,296 = 269,296 : x
  2. Step 2: Convert to fraction form
    124,807/269,296 = 269,296/x
  3. Step 3: Cross multiply
    124,807x = 269,296 × 269,296
  4. Step 4: Simplify right side
    124,807x = 72,520,335,616
  5. Step 5: Solve for x
    x = 72,520,335,616/124,807
  6. Step 6: Final answer
    x = 581,059.84

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.