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Finding the Third Proportional to 135,974 and 294,544

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Solution

The third proportional to 135,974 and 294,544 is: 638,034.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,974 : 294,544 = 294,544 : x
  2. Step 2: Convert to fraction form
    135,974/294,544 = 294,544/x
  3. Step 3: Cross multiply
    135,974x = 294,544 × 294,544
  4. Step 4: Simplify right side
    135,974x = 86,756,167,936
  5. Step 5: Solve for x
    x = 86,756,167,936/135,974
  6. Step 6: Final answer
    x = 638,034.98

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.