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Finding the Third Proportional to 127,764 and 277,900

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Solution

The third proportional to 127,764 and 277,900 is: 604,461.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,764 : 277,900 = 277,900 : x
  2. Step 2: Convert to fraction form
    127,764/277,900 = 277,900/x
  3. Step 3: Cross multiply
    127,764x = 277,900 × 277,900
  4. Step 4: Simplify right side
    127,764x = 77,228,410,000
  5. Step 5: Solve for x
    x = 77,228,410,000/127,764
  6. Step 6: Final answer
    x = 604,461.43

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.