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Finding the Third Proportional to 198,472 and 299,554

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Solution

The third proportional to 198,472 and 299,554 is: 452,117.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,472 : 299,554 = 299,554 : x
  2. Step 2: Convert to fraction form
    198,472/299,554 = 299,554/x
  3. Step 3: Cross multiply
    198,472x = 299,554 × 299,554
  4. Step 4: Simplify right side
    198,472x = 89,732,598,916
  5. Step 5: Solve for x
    x = 89,732,598,916/198,472
  6. Step 6: Final answer
    x = 452,117.17

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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.