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Finding the Third Proportional to 201,053 and 402,085

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Solution

The third proportional to 201,053 and 402,085 is: 804,128.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,053 : 402,085 = 402,085 : x
  2. Step 2: Convert to fraction form
    201,053/402,085 = 402,085/x
  3. Step 3: Cross multiply
    201,053x = 402,085 × 402,085
  4. Step 4: Simplify right side
    201,053x = 161,672,347,225
  5. Step 5: Solve for x
    x = 161,672,347,225/201,053
  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.