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Finding the Third Proportional to 154,222 and 224,769

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Solution

The third proportional to 154,222 and 224,769 is: 327,586.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,222 : 224,769 = 224,769 : x
  2. Step 2: Convert to fraction form
    154,222/224,769 = 224,769/x
  3. Step 3: Cross multiply
    154,222x = 224,769 × 224,769
  4. Step 4: Simplify right side
    154,222x = 50,521,103,361
  5. Step 5: Solve for x
    x = 50,521,103,361/154,222
  6. Step 6: Final answer
    x = 327,586.88

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.