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Finding the Third Proportional to 127,336 and 277,328

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Solution

The third proportional to 127,336 and 277,328 is: 603,999.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,336 : 277,328 = 277,328 : x
  2. Step 2: Convert to fraction form
    127,336/277,328 = 277,328/x
  3. Step 3: Cross multiply
    127,336x = 277,328 × 277,328
  4. Step 4: Simplify right side
    127,336x = 76,910,819,584
  5. Step 5: Solve for x
    x = 76,910,819,584/127,336
  6. Step 6: Final answer
    x = 603,999.02

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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.