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Finding the Third Proportional to 176,548 and 226,682

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Solution

The third proportional to 176,548 and 226,682 is: 291,052.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,548 : 226,682 = 226,682 : x
  2. Step 2: Convert to fraction form
    176,548/226,682 = 226,682/x
  3. Step 3: Cross multiply
    176,548x = 226,682 × 226,682
  4. Step 4: Simplify right side
    176,548x = 51,384,729,124
  5. Step 5: Solve for x
    x = 51,384,729,124/176,548
  6. Step 6: Final answer
    x = 291,052.46

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Why These Related Problems?

These problems maintain the same ratio (1.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.