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Finding the Third Proportional to 198,472 and 468,136

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Solution

The third proportional to 198,472 and 468,136 is: 1,104,192.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,472 : 468,136 = 468,136 : x
  2. Step 2: Convert to fraction form
    198,472/468,136 = 468,136/x
  3. Step 3: Cross multiply
    198,472x = 468,136 × 468,136
  4. Step 4: Simplify right side
    198,472x = 219,151,314,496
  5. Step 5: Solve for x
    x = 219,151,314,496/198,472
  6. Step 6: Final answer
    x = 1,104,192.60

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.