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Finding the Third Proportional to 224,313.05 and 344,785.39

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Solution

The third proportional to 224,313.05 and 344,785.39 is: 529,960.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,313.05 : 344,785.39 = 344,785.39 : x
  2. Step 2: Convert to fraction form
    224,313.05/344,785.39 = 344,785.39/x
  3. Step 3: Cross multiply
    224,313.05x = 344,785.39 × 344,785.39
  4. Step 4: Simplify right side
    224,313.05x = 118,876,968,282.07
  5. Step 5: Solve for x
    x = 118,876,968,282.07/224,313.05
  6. Step 6: Final answer
    x = 529,960.12

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.