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Finding the Third Proportional to 203,673 and 304,143

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Solution

The third proportional to 203,673 and 304,143 is: 454,173.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,673 : 304,143 = 304,143 : x
  2. Step 2: Convert to fraction form
    203,673/304,143 = 304,143/x
  3. Step 3: Cross multiply
    203,673x = 304,143 × 304,143
  4. Step 4: Simplify right side
    203,673x = 92,502,964,449
  5. Step 5: Solve for x
    x = 92,502,964,449/203,673
  6. Step 6: Final answer
    x = 454,173.92

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.