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Finding the Third Proportional to 199,600 and 301,472

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Solution

The third proportional to 199,600 and 301,472 is: 455,337.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,600 : 301,472 = 301,472 : x
  2. Step 2: Convert to fraction form
    199,600/301,472 = 301,472/x
  3. Step 3: Cross multiply
    199,600x = 301,472 × 301,472
  4. Step 4: Simplify right side
    199,600x = 90,885,366,784
  5. Step 5: Solve for x
    x = 90,885,366,784/199,600
  6. Step 6: Final answer
    x = 455,337.51

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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.