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Finding the Third Proportional to 134,077 and 277,433

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Solution

The third proportional to 134,077 and 277,433 is: 574,066.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,077 : 277,433 = 277,433 : x
  2. Step 2: Convert to fraction form
    134,077/277,433 = 277,433/x
  3. Step 3: Cross multiply
    134,077x = 277,433 × 277,433
  4. Step 4: Simplify right side
    134,077x = 76,969,069,489
  5. Step 5: Solve for x
    x = 76,969,069,489/134,077
  6. Step 6: Final answer
    x = 574,066.17

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.