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Finding the Third Proportional to 127,433 and 277,018

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Solution

The third proportional to 127,433 and 277,018 is: 602,190.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,433 : 277,018 = 277,018 : x
  2. Step 2: Convert to fraction form
    127,433/277,018 = 277,018/x
  3. Step 3: Cross multiply
    127,433x = 277,018 × 277,018
  4. Step 4: Simplify right side
    127,433x = 76,738,972,324
  5. Step 5: Solve for x
    x = 76,738,972,324/127,433
  6. Step 6: Final answer
    x = 602,190.74

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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.