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Finding the Third Proportional to 134,074 and 277,427

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Solution

The third proportional to 134,074 and 277,427 is: 574,054.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,074 : 277,427 = 277,427 : x
  2. Step 2: Convert to fraction form
    134,074/277,427 = 277,427/x
  3. Step 3: Cross multiply
    134,074x = 277,427 × 277,427
  4. Step 4: Simplify right side
    134,074x = 76,965,740,329
  5. Step 5: Solve for x
    x = 76,965,740,329/134,074
  6. Step 6: Final answer
    x = 574,054.18

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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.