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Finding the Third Proportional to 202,224 and 305,844

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Solution

The third proportional to 202,224 and 305,844 is: 462,559.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,224 : 305,844 = 305,844 : x
  2. Step 2: Convert to fraction form
    202,224/305,844 = 305,844/x
  3. Step 3: Cross multiply
    202,224x = 305,844 × 305,844
  4. Step 4: Simplify right side
    202,224x = 93,540,552,336
  5. Step 5: Solve for x
    x = 93,540,552,336/202,224
  6. Step 6: Final answer
    x = 462,559.10

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.