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Finding the Third Proportional to 201,422 and 282,355

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Solution

The third proportional to 201,422 and 282,355 is: 395,807.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,422 : 282,355 = 282,355 : x
  2. Step 2: Convert to fraction form
    201,422/282,355 = 282,355/x
  3. Step 3: Cross multiply
    201,422x = 282,355 × 282,355
  4. Step 4: Simplify right side
    201,422x = 79,724,346,025
  5. Step 5: Solve for x
    x = 79,724,346,025/201,422
  6. Step 6: Final answer
    x = 395,807.54

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.