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Finding the Third Proportional to 151,505.25 and 224,328.75

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Solution

The third proportional to 151,505.25 and 224,328.75 is: 332,156.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,505.25 : 224,328.75 = 224,328.75 : x
  2. Step 2: Convert to fraction form
    151,505.25/224,328.75 = 224,328.75/x
  3. Step 3: Cross multiply
    151,505.25x = 224,328.75 × 224,328.75
  4. Step 4: Simplify right side
    151,505.25x = 50,323,388,076.56
  5. Step 5: Solve for x
    x = 50,323,388,076.56/151,505.25
  6. Step 6: Final answer
    x = 332,156.07

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.