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Finding the Third Proportional to 134,078 and 277,434

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Solution

The third proportional to 134,078 and 277,434 is: 574,066.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,078 : 277,434 = 277,434 : x
  2. Step 2: Convert to fraction form
    134,078/277,434 = 277,434/x
  3. Step 3: Cross multiply
    134,078x = 277,434 × 277,434
  4. Step 4: Simplify right side
    134,078x = 76,969,624,356
  5. Step 5: Solve for x
    x = 76,969,624,356/134,078
  6. Step 6: Final answer
    x = 574,066.02

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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.