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Finding the Third Proportional to 201,224 and 422,032

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Solution

The third proportional to 201,224 and 422,032 is: 885,138.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,224 : 422,032 = 422,032 : x
  2. Step 2: Convert to fraction form
    201,224/422,032 = 422,032/x
  3. Step 3: Cross multiply
    201,224x = 422,032 × 422,032
  4. Step 4: Simplify right side
    201,224x = 178,111,009,024
  5. Step 5: Solve for x
    x = 178,111,009,024/201,224
  6. Step 6: Final answer
    x = 885,138.00

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.