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Finding the Third Proportional to 201,044 and 402,068

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Solution

The third proportional to 201,044 and 402,068 is: 804,096.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,044 : 402,068 = 402,068 : x
  2. Step 2: Convert to fraction form
    201,044/402,068 = 402,068/x
  3. Step 3: Cross multiply
    201,044x = 402,068 × 402,068
  4. Step 4: Simplify right side
    201,044x = 161,658,676,624
  5. Step 5: Solve for x
    x = 161,658,676,624/201,044
  6. Step 6: Final answer
    x = 804,096.00

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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.