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Finding the Third Proportional to 127,349 and 274,264

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Solution

The third proportional to 127,349 and 274,264 is: 590,666.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,349 : 274,264 = 274,264 : x
  2. Step 2: Convert to fraction form
    127,349/274,264 = 274,264/x
  3. Step 3: Cross multiply
    127,349x = 274,264 × 274,264
  4. Step 4: Simplify right side
    127,349x = 75,220,741,696
  5. Step 5: Solve for x
    x = 75,220,741,696/127,349
  6. Step 6: Final answer
    x = 590,666.14

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.