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Finding the Third Proportional to 144,524.25 and 224,322.75

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Solution

The third proportional to 144,524.25 and 224,322.75 is: 348,181.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,524.25 : 224,322.75 = 224,322.75 : x
  2. Step 2: Convert to fraction form
    144,524.25/224,322.75 = 224,322.75/x
  3. Step 3: Cross multiply
    144,524.25x = 224,322.75 × 224,322.75
  4. Step 4: Simplify right side
    144,524.25x = 50,320,696,167.56
  5. Step 5: Solve for x
    x = 50,320,696,167.56/144,524.25
  6. Step 6: Final answer
    x = 348,181.68

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Why These Related Problems?

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