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Finding the Third Proportional to 134,156 and 276,952

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Solution

The third proportional to 134,156 and 276,952 is: 571,740.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,156 : 276,952 = 276,952 : x
  2. Step 2: Convert to fraction form
    134,156/276,952 = 276,952/x
  3. Step 3: Cross multiply
    134,156x = 276,952 × 276,952
  4. Step 4: Simplify right side
    134,156x = 76,702,410,304
  5. Step 5: Solve for x
    x = 76,702,410,304/134,156
  6. Step 6: Final answer
    x = 571,740.44

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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.