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Finding the Third Proportional to 195,350 and 401,056

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Solution

The third proportional to 195,350 and 401,056 is: 823,373.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,350 : 401,056 = 401,056 : x
  2. Step 2: Convert to fraction form
    195,350/401,056 = 401,056/x
  3. Step 3: Cross multiply
    195,350x = 401,056 × 401,056
  4. Step 4: Simplify right side
    195,350x = 160,845,915,136
  5. Step 5: Solve for x
    x = 160,845,915,136/195,350
  6. Step 6: Final answer
    x = 823,373.00

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.