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Finding the Third Proportional to 176,545 and 226,680

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Solution

The third proportional to 176,545 and 226,680 is: 291,052.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,545 : 226,680 = 226,680 : x
  2. Step 2: Convert to fraction form
    176,545/226,680 = 226,680/x
  3. Step 3: Cross multiply
    176,545x = 226,680 × 226,680
  4. Step 4: Simplify right side
    176,545x = 51,383,822,400
  5. Step 5: Solve for x
    x = 51,383,822,400/176,545
  6. Step 6: Final answer
    x = 291,052.27

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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.