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Finding the Third Proportional to 127,446.75 and 277,047

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Solution

The third proportional to 127,446.75 and 277,047 is: 602,251.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,446.75 : 277,047 = 277,047 : x
  2. Step 2: Convert to fraction form
    127,446.75/277,047 = 277,047/x
  3. Step 3: Cross multiply
    127,446.75x = 277,047 × 277,047
  4. Step 4: Simplify right side
    127,446.75x = 76,755,040,209
  5. Step 5: Solve for x
    x = 76,755,040,209/127,446.75
  6. Step 6: Final answer
    x = 602,251.84

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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.