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Finding the Third Proportional to 150,720.75 and 224,030.81

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Solution

The third proportional to 150,720.75 and 224,030.81 is: 332,998.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,720.75 : 224,030.81 = 224,030.81 : x
  2. Step 2: Convert to fraction form
    150,720.75/224,030.81 = 224,030.81/x
  3. Step 3: Cross multiply
    150,720.75x = 224,030.81 × 224,030.81
  4. Step 4: Simplify right side
    150,720.75x = 50,189,804,949.41
  5. Step 5: Solve for x
    x = 50,189,804,949.41/150,720.75
  6. Step 6: Final answer
    x = 332,998.64

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.