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Finding the Third Proportional to 127,773 and 277,848

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Solution

The third proportional to 127,773 and 277,848 is: 604,192.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,773 : 277,848 = 277,848 : x
  2. Step 2: Convert to fraction form
    127,773/277,848 = 277,848/x
  3. Step 3: Cross multiply
    127,773x = 277,848 × 277,848
  4. Step 4: Simplify right side
    127,773x = 77,199,511,104
  5. Step 5: Solve for x
    x = 77,199,511,104/127,773
  6. Step 6: Final answer
    x = 604,192.68

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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.