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Finding the Third Proportional to 128,007 and 203,472

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Solution

The third proportional to 128,007 and 203,472 is: 323,426.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,007 : 203,472 = 203,472 : x
  2. Step 2: Convert to fraction form
    128,007/203,472 = 203,472/x
  3. Step 3: Cross multiply
    128,007x = 203,472 × 203,472
  4. Step 4: Simplify right side
    128,007x = 41,400,854,784
  5. Step 5: Solve for x
    x = 41,400,854,784/128,007
  6. Step 6: Final answer
    x = 323,426.49

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.