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Finding the Third Proportional to 127,658 and 269,248

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Solution

The third proportional to 127,658 and 269,248 is: 567,880.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,658 : 269,248 = 269,248 : x
  2. Step 2: Convert to fraction form
    127,658/269,248 = 269,248/x
  3. Step 3: Cross multiply
    127,658x = 269,248 × 269,248
  4. Step 4: Simplify right side
    127,658x = 72,494,485,504
  5. Step 5: Solve for x
    x = 72,494,485,504/127,658
  6. Step 6: Final answer
    x = 567,880.47

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.