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Finding the Third Proportional to 201,048 and 402,076

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Solution

The third proportional to 201,048 and 402,076 is: 804,112.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,048 : 402,076 = 402,076 : x
  2. Step 2: Convert to fraction form
    201,048/402,076 = 402,076/x
  3. Step 3: Cross multiply
    201,048x = 402,076 × 402,076
  4. Step 4: Simplify right side
    201,048x = 161,665,109,776
  5. Step 5: Solve for x
    x = 161,665,109,776/201,048
  6. Step 6: Final answer
    x = 804,112.00

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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.