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Finding the Third Proportional to 169,288.50 and 224,727

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Solution

The third proportional to 169,288.50 and 224,727 is: 298,320.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,288.50 : 224,727 = 224,727 : x
  2. Step 2: Convert to fraction form
    169,288.50/224,727 = 224,727/x
  3. Step 3: Cross multiply
    169,288.50x = 224,727 × 224,727
  4. Step 4: Simplify right side
    169,288.50x = 50,502,224,529
  5. Step 5: Solve for x
    x = 50,502,224,529/169,288.50
  6. Step 6: Final answer
    x = 298,320.47

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.