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Finding the Third Proportional to 203,904 and 299,905.88

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Solution

The third proportional to 203,904 and 299,905.88 is: 441,107.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,904 : 299,905.88 = 299,905.88 : x
  2. Step 2: Convert to fraction form
    203,904/299,905.88 = 299,905.88/x
  3. Step 3: Cross multiply
    203,904x = 299,905.88 × 299,905.88
  4. Step 4: Simplify right side
    203,904x = 89,943,533,859.52
  5. Step 5: Solve for x
    x = 89,943,533,859.52/203,904
  6. Step 6: Final answer
    x = 441,107.26

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.