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Finding the Third Proportional to 127,374 and 276,865

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Solution

The third proportional to 127,374 and 276,865 is: 601,804.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,374 : 276,865 = 276,865 : x
  2. Step 2: Convert to fraction form
    127,374/276,865 = 276,865/x
  3. Step 3: Cross multiply
    127,374x = 276,865 × 276,865
  4. Step 4: Simplify right side
    127,374x = 76,654,228,225
  5. Step 5: Solve for x
    x = 76,654,228,225/127,374
  6. Step 6: Final answer
    x = 601,804.36

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.