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Finding the Third Proportional to 201,054 and 402,086

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Solution

The third proportional to 201,054 and 402,086 is: 804,128.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,054 : 402,086 = 402,086 : x
  2. Step 2: Convert to fraction form
    201,054/402,086 = 402,086/x
  3. Step 3: Cross multiply
    201,054x = 402,086 × 402,086
  4. Step 4: Simplify right side
    201,054x = 161,673,151,396
  5. Step 5: Solve for x
    x = 161,673,151,396/201,054
  6. Step 6: Final answer
    x = 804,128.00

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Why These Related Problems?

These problems maintain the same ratio (2.00) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.