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Finding the Third Proportional to 198,006 and 325,056

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Solution

The third proportional to 198,006 and 325,056 is: 533,627.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,006 : 325,056 = 325,056 : x
  2. Step 2: Convert to fraction form
    198,006/325,056 = 325,056/x
  3. Step 3: Cross multiply
    198,006x = 325,056 × 325,056
  4. Step 4: Simplify right side
    198,006x = 105,661,403,136
  5. Step 5: Solve for x
    x = 105,661,403,136/198,006
  6. Step 6: Final answer
    x = 533,627.28

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Why These Related Problems?

These problems maintain the same ratio (1.64) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.