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Finding the Third Proportional to 169,289.50 and 224,728.50

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Solution

The third proportional to 169,289.50 and 224,728.50 is: 298,322.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,289.50 : 224,728.50 = 224,728.50 : x
  2. Step 2: Convert to fraction form
    169,289.50/224,728.50 = 224,728.50/x
  3. Step 3: Cross multiply
    169,289.50x = 224,728.50 × 224,728.50
  4. Step 4: Simplify right side
    169,289.50x = 50,502,898,712.25
  5. Step 5: Solve for x
    x = 50,502,898,712.25/169,289.50
  6. Step 6: Final answer
    x = 298,322.69

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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.