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Finding the Third Proportional to 144,433.13 and 224,523.56

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Solution

The third proportional to 144,433.13 and 224,523.56 is: 349,025.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,433.13 : 224,523.56 = 224,523.56 : x
  2. Step 2: Convert to fraction form
    144,433.13/224,523.56 = 224,523.56/x
  3. Step 3: Cross multiply
    144,433.13x = 224,523.56 × 224,523.56
  4. Step 4: Simplify right side
    144,433.13x = 50,410,830,117.69
  5. Step 5: Solve for x
    x = 50,410,830,117.69/144,433.13
  6. Step 6: Final answer
    x = 349,025.41

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.