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Finding the Third Proportional to 134,760 and 277,304

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Solution

The third proportional to 134,760 and 277,304 is: 570,625.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,760 : 277,304 = 277,304 : x
  2. Step 2: Convert to fraction form
    134,760/277,304 = 277,304/x
  3. Step 3: Cross multiply
    134,760x = 277,304 × 277,304
  4. Step 4: Simplify right side
    134,760x = 76,897,508,416
  5. Step 5: Solve for x
    x = 76,897,508,416/134,760
  6. Step 6: Final answer
    x = 570,625.62

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.