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Finding the Third Proportional to 203,473.69 and 299,330.44

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Solution

The third proportional to 203,473.69 and 299,330.44 is: 440,345.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,473.69 : 299,330.44 = 299,330.44 : x
  2. Step 2: Convert to fraction form
    203,473.69/299,330.44 = 299,330.44/x
  3. Step 3: Cross multiply
    203,473.69x = 299,330.44 × 299,330.44
  4. Step 4: Simplify right side
    203,473.69x = 89,598,710,813.94
  5. Step 5: Solve for x
    x = 89,598,710,813.94/203,473.69
  6. Step 6: Final answer
    x = 440,345.44

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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.