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Finding the Third Proportional to 127,328 and 265,115

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Solution

The third proportional to 127,328 and 265,115 is: 552,007.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,328 : 265,115 = 265,115 : x
  2. Step 2: Convert to fraction form
    127,328/265,115 = 265,115/x
  3. Step 3: Cross multiply
    127,328x = 265,115 × 265,115
  4. Step 4: Simplify right side
    127,328x = 70,285,963,225
  5. Step 5: Solve for x
    x = 70,285,963,225/127,328
  6. Step 6: Final answer
    x = 552,007.13

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.