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Finding the Third Proportional to 85,417 and 176,544

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Solution

The third proportional to 85,417 and 176,544 is: 364,889.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,417 : 176,544 = 176,544 : x
  2. Step 2: Convert to fraction form
    85,417/176,544 = 176,544/x
  3. Step 3: Cross multiply
    85,417x = 176,544 × 176,544
  4. Step 4: Simplify right side
    85,417x = 31,167,783,936
  5. Step 5: Solve for x
    x = 31,167,783,936/85,417
  6. Step 6: Final answer
    x = 364,889.71

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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.