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Finding the Third Proportional to 170,996 and 370,972

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Solution

The third proportional to 170,996 and 370,972 is: 804,815.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,996 : 370,972 = 370,972 : x
  2. Step 2: Convert to fraction form
    170,996/370,972 = 370,972/x
  3. Step 3: Cross multiply
    170,996x = 370,972 × 370,972
  4. Step 4: Simplify right side
    170,996x = 137,620,224,784
  5. Step 5: Solve for x
    x = 137,620,224,784/170,996
  6. Step 6: Final answer
    x = 804,815.46

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.