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Finding the Third Proportional to 224,025.75 and 354,906

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Solution

The third proportional to 224,025.75 and 354,906 is: 562,249.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,025.75 : 354,906 = 354,906 : x
  2. Step 2: Convert to fraction form
    224,025.75/354,906 = 354,906/x
  3. Step 3: Cross multiply
    224,025.75x = 354,906 × 354,906
  4. Step 4: Simplify right side
    224,025.75x = 125,958,268,836
  5. Step 5: Solve for x
    x = 125,958,268,836/224,025.75
  6. Step 6: Final answer
    x = 562,249.07

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.