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Finding the Third Proportional to 176,544.50 and 226,678.50

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Solution

The third proportional to 176,544.50 and 226,678.50 is: 291,049.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,544.50 : 226,678.50 = 226,678.50 : x
  2. Step 2: Convert to fraction form
    176,544.50/226,678.50 = 226,678.50/x
  3. Step 3: Cross multiply
    176,544.50x = 226,678.50 × 226,678.50
  4. Step 4: Simplify right side
    176,544.50x = 51,383,142,362.25
  5. Step 5: Solve for x
    x = 51,383,142,362.25/176,544.50
  6. Step 6: Final answer
    x = 291,049.24

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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.