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Finding the Third Proportional to 127,540 and 264,292

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Solution

The third proportional to 127,540 and 264,292 is: 547,673.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,540 : 264,292 = 264,292 : x
  2. Step 2: Convert to fraction form
    127,540/264,292 = 264,292/x
  3. Step 3: Cross multiply
    127,540x = 264,292 × 264,292
  4. Step 4: Simplify right side
    127,540x = 69,850,261,264
  5. Step 5: Solve for x
    x = 69,850,261,264/127,540
  6. Step 6: Final answer
    x = 547,673.37

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.